388756368 has 640 divisors, whose sum is σ = 1599897600. Its totient is φ = 87091200.

The previous prime is 388756363. The next prime is 388756409. The reversal of 388756368 is 863657883.

It is a happy number.

It is a super-2 number, since 2×388756368² = 302263027321102848, which contains 22 as substring.

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

Its product of digits (5806080) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (388756363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12540513 + ... + 12540543.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^388756368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388756368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

388756368 is an abundant number, since it is smaller than the sum of its proper divisors (1211141232).

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

388756368 is a wasteful number, since it uses less digits than its factorization.

388756368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 388756368 is about 19716.9056395774. The cubic root of 388756368 is about 729.8369361185.

The spelling of 388756368 in words is "three hundred eighty-eight million, seven hundred fifty-six thousand, three hundred sixty-eight".