TMZ has learned ... the platinum ring, which boasts a 3.39 carat circular-cut diamond -- will be auctioned off by Christie's in NYC next month.
According to the listing, the ring is expected to sell somewhere in the range of $20 -$30k.
Sources close to Crystal tell us ... the former Playboy model "couldn't bear to look at the ring anymore because it brought back bad memories."
I call BullS#$%