379264320 has 336 divisors, whose sum is σ = 1426464000. Its totient is φ = 92123136.

The previous prime is 379264313. The next prime is 379264357. The reversal of 379264320 is 23462973.

It is a happy number.

379264320 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 643 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1586761 + ... + 1586999.

Almost surely, 2^379264320 is an apocalyptic number.

379264320 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 379264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232000).

379264320 is an abundant number, since it is smaller than the sum of its proper divisors (1047199680).

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

379264320 is a wasteful number, since it uses less digits than its factorization.

379264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 379264320 is about 19474.7097539347. The cubic root of 379264320 is about 723.8479173452.

The spelling of 379264320 in words is "three hundred seventy-nine million, two hundred sixty-four thousand, three hundred twenty".