376286400 has 252 divisors, whose sum is σ = 1528878832. Its totient is φ = 85985280.

The previous prime is 376286389. The next prime is 376286423. The reversal of 376286400 is 4682673.

376286400 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98934 + ... + 102666.

Almost surely, 2^376286400 is an apocalyptic number.

376286400 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 376286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764439416).

376286400 is an abundant number, since it is smaller than the sum of its proper divisors (1152592432).

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

376286400 is a wasteful number, since it uses less digits than its factorization.

376286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 376286400 is about 19398.1030000359. The cubic root of 376286400 is about 721.9484262187.

The spelling of 376286400 in words is "three hundred seventy-six million, two hundred eighty-six thousand, four hundred".