388761600 has 144 divisors (see below), whose sum is σ = 1285698960. Its totient is φ = 103628800.

The previous prime is 388761589. The next prime is 388761613. The reversal of 388761600 is 6167883.

It is a super-2 number, since 2×388761600² = 302271163269120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152335 + ... + 154865.

It is an arithmetic number, because the mean of its divisors is an integer number (8928465).

Almost surely, 2^388761600 is an apocalyptic number.

388761600 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 388761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642849480).

388761600 is an abundant number, since it is smaller than the sum of its proper divisors (896937360).

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

388761600 is a wasteful number, since it uses less digits than its factorization.

388761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 388761600 is about 19717.0383171510. The cubic root of 388761600 is about 729.8402102254.

The spelling of 388761600 in words is "three hundred eighty-eight million, seven hundred sixty-one thousand, six hundred".