388856160 has 576 divisors, whose sum is σ = 1737469440. Its totient is φ = 80317440.

The previous prime is 388856159. The next prime is 388856173. The reversal of 388856160 is 61658883.

388856160 is a `hidden beast` number, since 3 + 8 + 88 + 561 + 6 + 0 = 666.

It is a super-2 number, since 2×388856160² = 302418226339891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328397 + ... + 2328563.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^388856160 is an apocalyptic number.

388856160 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 388856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

388856160 is an abundant number, since it is smaller than the sum of its proper divisors (1348613280).

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

388856160 is a wasteful number, since it uses less digits than its factorization.

388856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 388856160 is about 19719.4360974141. The cubic root of 388856160 is about 729.8993793885.

The spelling of 388856160 in words is "three hundred eighty-eight million, eight hundred fifty-six thousand, one hundred sixty".