NL25 33 Full House on the River

[HighCardSeven]

Poker Stars - No Limit Hold'em Cash Game - $0.10/$0.25 Blinds - 5 Players - (LegoPoker Hand History Converter)

SB: $15.45
BB: $20.90
UTG: $22.20
CO: $54.10
Hero (BTN): $25.55

Preflop: Hero is dealt 3 3 (5 Players)
UTG folds, CO calls $0.25, Hero calls $0.25, SB calls $0.15, BB checks

Flop: ($1) 3 4 A (4 Players)
SB checks, BB checks, CO checks, Hero bets $1.00, SB folds, BB calls $1.00, CO folds

Turn: ($3) J (2 Players)
BB checks, Hero bets $2.00, BB calls $2.00

River: ($7) 4 (2 Players)
BB bets $3.50, Hero ???

What should I do? Is a reraise the right answer? If yes how much should I bet? Is calling to weak? Maybe he has made a higher Full House on the River. He is the BB and I was not sure if my pocket 3s are strong enough.

[Snafu'd]

HCS, what about his play would make you think he made a higher full house on the river? Your hand is plenty strong to put in a raise here. BB's got only about $14 behind so I'd just shove it all in.

[rjacobs003]

*grunch*
I raise this pre-flop. You want to add value and get closer to playign for stacks when you hit your set on the flop (as you do now) As played, the flop and turn are ok (may have bet slightly more on the turn)and I actually like the river cause he's representing trips here. I'd probably push here and in most cases would expect to stack him. Do you have any reads here?