[TGoldman]

Generally, yes, you do have business shoving chips in the pot when you have 64.4% equity on the flop and 51.4% equity on the turn against three opponents. I'm not sure why you posted this hand. The only other consideration for this hand would be if it's better to lead out for the pot or try to check-raise someone. Your hand is a monster, get as many chips in as possible. Tough river, but like you said it doesn't (err shouldn't) matter.

Edit: FYI this is a not an example of how to play open trips in general. You also have the nut-low draw which gives you a lot of leverage to push much harder than usual.