388795680 has 768 divisors, whose sum is σ = 1788272640. Its totient is φ = 76640256.

The previous prime is 388795679. The next prime is 388795681. The reversal of 388795680 is 86597883.

It is a happy number.

388795680 is a `hidden beast` number, since 3 + 8 + 8 + 79 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (388795679) and next prime (388795681).

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

It is not an unprimeable number, because it can be changed into a prime (388795681) 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, 9041739 + ... + 9041781.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^388795680 is an apocalyptic number.

388795680 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 388795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

388795680 is an abundant number, since it is smaller than the sum of its proper divisors (1399476960).

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

388795680 is a wasteful number, since it uses less digits than its factorization.

388795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 388795680 is about 19717.9025253702. The cubic root of 388795680 is about 729.8615362579.

The spelling of 388795680 in words is "three hundred eighty-eight million, seven hundred ninety-five thousand, six hundred eighty".