3957386880 has 256 divisors, whose sum is σ = 13448332800. Its totient is φ = 986959872.

The previous prime is 3957386863. The next prime is 3957386921. The reversal of 3957386880 is 886837593.

3957386880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3957386880² = 31321821835992268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3957386880.

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, 3027187 + ... + 3028493.

It is an arithmetic number, because the mean of its divisors is an integer number (52532550).

Almost surely, 2^3957386880 is an apocalyptic number.

3957386880 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 3957386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724166400).

3957386880 is an abundant number, since it is smaller than the sum of its proper divisors (9490945920).

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

3957386880 is a wasteful number, since it uses less digits than its factorization.

3957386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The square root of 3957386880 is about 62907.7648625351. The cubic root of 3957386880 is about 1581.7439058074.

The spelling of 3957386880 in words is "three billion, nine hundred fifty-seven million, three hundred eighty-six thousand, eight hundred eighty".