3907952160 has 96 divisors (see below), whose sum is σ = 14068639872. Its totient is φ = 893245440.

The previous prime is 3907952123. The next prime is 3907952161. The reversal of 3907952160 is 612597093.

3907952160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3907952161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578181 + ... + 584900.

It is an arithmetic number, because the mean of its divisors is an integer number (146548332).

Almost surely, 2^3907952160 is an apocalyptic number.

3907952160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3907952160 is an abundant number, since it is smaller than the sum of its proper divisors (10160687712).

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

3907952160 is a wasteful number, since it uses less digits than its factorization.

3907952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163106 (or 1163098 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 3907952160 is about 62513.6157968806. The cubic root of 3907952160 is about 1575.1300351191.

The spelling of 3907952160 in words is "three billion, nine hundred seven million, nine hundred fifty-two thousand, one hundred sixty".