3957536880 has 560 divisors, whose sum is σ = 15613286400. Its totient is φ = 923788800.

The previous prime is 3957536873. The next prime is 3957536893. The reversal of 3957536880 is 886357593.

It is a happy number.

3957536880 is a `hidden beast` number, since 3 + 9 + 575 + 3 + 68 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 19887021 + ... + 19887219.

Almost surely, 2^3957536880 is an apocalyptic number.

3957536880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806643200).

3957536880 is an abundant number, since it is smaller than the sum of its proper divisors (11655749520).

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

3957536880 is a wasteful number, since it uses less digits than its factorization.

3957536880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3957536880 is about 62908.9570729002. The cubic root of 3957536880 is about 1581.7638902564.

The spelling of 3957536880 in words is "three billion, nine hundred fifty-seven million, five hundred thirty-six thousand, eight hundred eighty".