379612800 has 432 divisors, whose sum is σ = 1581553350. Its totient is φ = 86446080.

The previous prime is 379612787. The next prime is 379612801. The reversal of 379612800 is 8216973.

379612800 is a `hidden beast` number, since 37 + 9 + 612 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 185177664 + 194435136 = 13608^2 + 13944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (379612801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411066 + ... + 1411334.

Almost surely, 2^379612800 is an apocalyptic number.

379612800 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 379612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790776675).

379612800 is an abundant number, since it is smaller than the sum of its proper divisors (1201940550).

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

379612800 is a wasteful number, since it uses less digits than its factorization.

379612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 379612800 is about 19483.6546879686. The cubic root of 379612800 is about 724.0695475654.

The spelling of 379612800 in words is "three hundred seventy-nine million, six hundred twelve thousand, eight hundred".