**768**

Prime factors of 3622184564625 = 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 31 × 37 × 37

Total number is calculated from the powers of odd factors by adding one rule:

3^3*5^3*11^3*19^1*31^1*37^2 --> (3+1)*(3+1)*(3+1)*(1+1)*(1+1)*(2+1)=4*4*4*2*2*3=**768**