AMC 10 2021b Problem 12

Let $N = 34 \cdot 34 \cdot 63 \cdot 270$. What is the ratio of the sum of the odd divisors of $N$ to the sum of the even divisors of $N$? $\textbf{(A)} ~1 : 16 \textbf{(B)} ~1 : 15 \textbf{(C)} ~1 : 14 \textbf{(D)} ~1 : 8 \textbf{(E)} ~1 : 3$