Awesome hand

[Spook]

PokerStars No-Limit Hold'em Tourney, Big Blind is t20 (9 handed) FTR converter on zerodivide.cx

MP2 (t1470)
MP3 (t1480)
CO (t1390)
Button (t1500)
SB (t1840)
BB (t1550)
UTG (t1470)
Hero (t1700)
MP1 (t2720)

Preflop: Hero is UTG+1 with 3, 3.
1 fold, Hero calls t20, MP1 calls t20, 2 folds, CO calls t20, 1 fold, SB completes, BB checks.

Flop: (t100) 3, 6, 7 (5 players)
SB checks, BB checks, Hero bets t120, MP1 folds, CO calls t120, SB calls t120, BB folds.

Turn: (t460) 3 (3 players)
SB checks, Hero checks, CO checks.

River: (t460) 8 (3 players)
SB bets t100, Hero raises to t400, CO raises to t1250, SB calls t1150, Hero raises to t1560, SB calls t310.

Final Pot: t4830

Results in white below:
SB has 2h Th (flush, ten high).
Hero has 3c 3h (four of a kind, threes).
CO has 5h Kh (flush, king high).
Outcome: Hero wins t4830.

So... could I have played it better?

You got just about everybody's chips in the pot, so this is probably played perfectly.

Nice pot!

[chardrian]

Since the turn gave you the nuts and it seems clear that someone is drawing, I like the check on the turn to give them some rope to hang themselves.

However, an argument can also be made for a value bet on the turn to juice the pot in case the draw doesn't hit.

[gabe]

I like the check on the turn to give them some rope to hang themselves.

i like a smallish bet on turn so you can make money even when they miss the river.