The Collaborative International Dictionary of English v.0.48:

Affluence \Af"flu*ence\, n. [F. affluence, L. affluentia, fr.
   affluens, p. pr. of affluere to flow to; ad + fluere to flow.
   See Flux.]
   1. A flowing to or towards; a concourse; an influx.
      [1913 Webster]

            The affluence of young nobles from hence into Spain.
                                                  --Wotton.
      [1913 Webster]

            There is an unusual affluence of strangers this
            year.                                 --Carlyle.
      [1913 Webster]

   2. An abundant supply, as of thought, words, feelings, etc.;
      profusion; also, abundance of property; wealth.
      [1913 Webster]

            And old age of elegance, affluence, and ease.
                                                  --Coldsmith.
      [1913 Webster]

   Syn: Abundance; riches; profusion; exuberance; plenty;
        wealth; opulence.
        [1913 Webster]

WordNet (r) 3.0 (2006):

affluence
    n 1: abundant wealth; "they studied forerunners of richness or
         poverty"; "the richness all around unsettled him for he had
         expected to find poverty" [syn: affluence, richness]

Moby Thesaurus II by Grady Ward, 1.0:

158 Moby Thesaurus words for "affluence":
   Easy Street, abundance, afflux, affluxion, ample sufficiency,
   ampleness, amplitude, assets, avalanche, bed of roses, bonanza,
   bottomless purse, bountifulness, bountiousness, bulging purse,
   bumper crop, clover, comfort, concourse, confluence, conflux,
   copiousness, course, crosscurrent, current, defluxion, downflow,
   downpour, drift, driftage, ease, easy circumstances,
   embarras de richesses, extravagance, exuberance, felicity,
   fertility, fleshpots, flood, flow, flowing, fluency, flux, foison,
   fortune, full measure, fullness, generosity, generousness, gold,
   gracious life, gracious living, great abundance, great plenty,
   gush, handsome fortune, happiness, high income, high tax bracket,
   independence, indraft, indrawing, inflooding, inflow, influx,
   influxion, inpour, inrun, inrush, landslide, lap of luxury,
   lavishness, liberality, liberalness, life of ease,
   loaves and fishes, lots, lucre, luxuriance, luxuriousness, luxury,
   mammon, material wealth, maximum, mill run, millrace, money,
   money to burn, moneybags, more than enough, much, myriad, myriads,
   numerousness, onrush, onward course, opulence, opulency, outflow,
   outpouring, overflow, pelf, plenitude, plenteousness,
   plentifulness, plenty, possessions, prevalence, prodigality,
   productiveness, profuseness, profusion, property, prosperity,
   prosperousness, quantities, race, repleteness, repletion,
   rich harvest, rich vein, riches, richness, riot, riotousness, run,
   rush, scads, security, set, shower, six-figure income, spate,
   stream, substance, substantiality, substantialness, success,
   superabundance, surge, teemingness, the affluent life,
   the good life, thriving condition, tide, treasure, trend,
   undercurrent, undertow, upper bracket, upward mobility, velvet,
   water flow, weal, wealth, wealthiness, welfare, well-being