1200 followers problem!

Number Theory Level 5

Consider a 1200 digit number $N_a=\underbrace{aaaa\dots aaa}_{\text{1200 } a\text{'s} }$ .

Define $\varphi_a$ as the number of zeroes in the decimal representation of the quotient obtained when $N_a$ is divided by 37.

Compute $\displaystyle\sum_{a=1}^9 \varphi_a$ .

Bonus: Generalize this.