376401600 has 168 divisors, whose sum is σ = 1372280720. Its totient is φ = 100362240.

The previous prime is 376401587. The next prime is 376401653. The reversal of 376401600 is 6104673.

376401600 is a `hidden beast` number, since 3 + 7 + 640 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38844 + ... + 47556.

Almost surely, 2^376401600 is an apocalyptic number.

376401600 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 376401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686140360).

376401600 is an abundant number, since it is smaller than the sum of its proper divisors (995879120).

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

376401600 is a wasteful number, since it uses less digits than its factorization.

376401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 376401600 is about 19401.0721353228. The cubic root of 376401600 is about 722.0220934863.

The spelling of 376401600 in words is "three hundred seventy-six million, four hundred one thousand, six hundred".