379912896 has 336 divisors, whose sum is σ = 1297228800. Its totient is φ = 108725760.

The previous prime is 379912877. The next prime is 379912903. The reversal of 379912896 is 698219973.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4808985 + ... + 4809063.

It is an arithmetic number, because the mean of its divisors is an integer number (3860800).

Almost surely, 2^379912896 is an apocalyptic number.

379912896 is a gapful number since it is divisible by the number (36) 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 379912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648614400).

379912896 is an abundant number, since it is smaller than the sum of its proper divisors (917315904).

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

379912896 is a wasteful number, since it uses less digits than its factorization.

379912896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 379912896 is about 19491.3543911140. The cubic root of 379912896 is about 724.2602973169.

The spelling of 379912896 in words is "three hundred seventy-nine million, nine hundred twelve thousand, eight hundred ninety-six".