Dice sums

I have 4 (distinct) dice, each with 6 faces labelled $1,2,3,4,5,6$, and I roll all 4 simultaneously. Let $d_{1}$ be the number that comes up on the first dice, $d_{2}$ be the number that comes up on the second dice, $d_{3}$ be the number that comes up on the third dice and $d_{4}$ be the number that comes up on the fourth dice. In how many ways can I roll the 4 dice in this way so that 3 divides $d_{1} + d_{2} + d_{3} + d_{4}$?