388883056320 has 896 divisors, whose sum is σ = 1626432307200. Its totient is φ = 86419353600.

The previous prime is 388883056291. The next prime is 388883056343. The reversal of 388883056320 is 23650388883.

388883056320 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 8 + 305 + 6 + 320 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 55975087 + ... + 55982033.

Almost surely, 2^388883056320 is an apocalyptic number.

388883056320 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 388883056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813216153600).

388883056320 is an abundant number, since it is smaller than the sum of its proper divisors (1237549250880).

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

388883056320 is a wasteful number, since it uses less digits than its factorization.

388883056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 388883056320 in words is "three hundred eighty-eight billion, eight hundred eighty-three million, fifty-six thousand, three hundred twenty".