3958165120 has 512 divisors, whose sum is σ = 12680640000. Its totient is φ = 1170505728.

The previous prime is 3958165117. The next prime is 3958165163. The reversal of 3958165120 is 215618593.

It is a super-2 number, since 2×3958165120² = 31334142234369228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54221404 + ... + 54221476.

It is an arithmetic number, because the mean of its divisors is an integer number (24766875).

Almost surely, 2^3958165120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340320000).

3958165120 is an abundant number, since it is smaller than the sum of its proper divisors (8722474880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3958165120 is a wasteful number, since it uses less digits than its factorization.

3958165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 3958165120 is about 62913.9501223695. The cubic root of 3958165120 is about 1581.8475849717.

The spelling of 3958165120 in words is "three billion, nine hundred fifty-eight million, one hundred sixty-five thousand, one hundred twenty".