3957100560 has 160 divisors (see below), whose sum is σ = 15577217280. Its totient is φ = 904476672.

The previous prime is 3957100519. The next prime is 3957100577. The reversal of 3957100560 is 650017593.

It is a happy number.

3957100560 is a `hidden beast` number, since 3 + 95 + 7 + 1 + 0 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115737 + ... + 145976.

It is an arithmetic number, because the mean of its divisors is an integer number (97357608).

Almost surely, 2^3957100560 is an apocalyptic number.

3957100560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3957100560 is an abundant number, since it is smaller than the sum of its proper divisors (11620116720).

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

3957100560 is a wasteful number, since it uses less digits than its factorization.

3957100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261742 (or 261730 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 3957100560 is about 62905.4891086621. The cubic root of 3957100560 is about 1581.7057580893.

The spelling of 3957100560 in words is "three billion, nine hundred fifty-seven million, one hundred thousand, five hundred sixty".