We can use the property that the remainder when a number is divided by 3 is the same as the remainder when the sum of its digits is divided by 3.
Let's first find the product of the given number:
349 × 74 × 36 = 929736
The sum of the digits is:
9 + 2 + 9 + 7 + 3 + 6 = 36
Now we can apply the property mentioned above:
The remainder when 36 is divided by 3 is 0.
Therefore, the remainder when (349 x 74 x 36) is divided by 3 is 0
