379456228800 has 840 divisors, whose sum is σ = 1531113788160. Its totient is φ = 91413964800.

The previous prime is 379456228799. The next prime is 379456228813. The reversal of 379456228800 is 8822654973.

379456228800 is a `hidden beast` number, since 3 + 7 + 9 + 4 + 5 + 622 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 255181657 + ... + 255183143.

Almost surely, 2^379456228800 is an apocalyptic number.

379456228800 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 379456228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765556894080).

379456228800 is an abundant number, since it is smaller than the sum of its proper divisors (1151657559360).

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

379456228800 is a wasteful number, since it uses less digits than its factorization.

379456228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 379456228800 in words is "three hundred seventy-nine billion, four hundred fifty-six million, two hundred twenty-eight thousand, eight hundred".