AHSME 1969 Problem 20

Let $P$ equal the product of 3,659,893,456,789,325,678 and 342,973,489,379,256. The number of digits in $P$ is: $\text{(A) } 36 \text{(B) } 35 \text{(C) } 34 \text{(D) } 33 \text{(E) } 32$