379996512 has 384 divisors, whose sum is σ = 1323786240. Its totient is φ = 92897280.

The previous prime is 379996469. The next prime is 379996517. The reversal of 379996512 is 215699973.

It is a happy number.

It is a super-2 number, since 2×379996512² = 288794698264332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (918540) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379996517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10270158 + ... + 10270194.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^379996512 is an apocalyptic number.

379996512 is a gapful number since it is divisible by the number (32) 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 379996512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

379996512 is an abundant number, since it is smaller than the sum of its proper divisors (943789728).

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

379996512 is a wasteful number, since it uses less digits than its factorization.

379996512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The square root of 379996512 is about 19493.4992241003. The cubic root of 379996512 is about 724.3134281857.

The spelling of 379996512 in words is "three hundred seventy-nine million, nine hundred ninety-six thousand, five hundred twelve".