376426800 has 180 divisors, whose sum is σ = 1348844224. Its totient is φ = 97113600.

The previous prime is 376426793. The next prime is 376426819. The reversal of 376426800 is 8624673.

376426800 is a `hidden beast` number, since 3 + 7 + 642 + 6 + 8 + 0 + 0 = 666.

376426800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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, 109914 + ... + 113286.

Almost surely, 2^376426800 is an apocalyptic number.

376426800 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 376426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674422112).

376426800 is an abundant number, since it is smaller than the sum of its proper divisors (972417424).

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

376426800 is a wasteful number, since it uses less digits than its factorization.

376426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3414 counting only the distinct ones).

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

The square root of 376426800 is about 19401.7215730976. The cubic root of 376426800 is about 722.0382061974.

The spelling of 376426800 in words is "three hundred seventy-six million, four hundred twenty-six thousand, eight hundred".