379630944 has 576 divisors, whose sum is σ = 1528450560. Its totient is φ = 86261760.

The previous prime is 379630943. The next prime is 379630969. The reversal of 379630944 is 449036973.

379630944 is a `hidden beast` number, since 3 + 7 + 9 + 630 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×379630944² = 288239307284662272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 379630944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379630943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7162822 + ... + 7162874.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^379630944 is an apocalyptic number.

379630944 is a gapful number since it is divisible by the number (34) 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 379630944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

379630944 is an abundant number, since it is smaller than the sum of its proper divisors (1148819616).

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

379630944 is a wasteful number, since it uses less digits than its factorization.

379630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 379630944 is about 19484.1203034676. The cubic root of 379630944 is about 724.0810832746.

The spelling of 379630944 in words is "three hundred seventy-nine million, six hundred thirty thousand, nine hundred forty-four".