388752000 has 512 divisors, whose sum is σ = 1603929600. Its totient is φ = 81100800.

The previous prime is 388751977. The next prime is 388752011. The reversal of 388752000 is 257883.

It is a super-2 number, since 2×388752000² = 302256235008000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367956 + ... + 4368044.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^388752000 is an apocalyptic number.

388752000 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 388752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

388752000 is an abundant number, since it is smaller than the sum of its proper divisors (1215177600).

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

388752000 is a wasteful number, since it uses less digits than its factorization.

388752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 388752000 is about 19716.7948713781. The cubic root of 388752000 is about 729.8342026673.

The spelling of 388752000 in words is "three hundred eighty-eight million, seven hundred fifty-two thousand".