379629768 has 128 divisors (see below), whose sum is σ = 1123948800. Its totient is φ = 104592384.

The previous prime is 379629739. The next prime is 379629787. The reversal of 379629768 is 867926973.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975718 + ... + 976106.

It is an arithmetic number, because the mean of its divisors is an integer number (8780850).

Almost surely, 2^379629768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379629768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561974400).

379629768 is an abundant number, since it is smaller than the sum of its proper divisors (744319032).

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

379629768 is a wasteful number, since it uses less digits than its factorization.

379629768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 57.

The square root of 379629768 is about 19484.0901250225. The cubic root of 379629768 is about 724.0803356009.

The spelling of 379629768 in words is "three hundred seventy-nine million, six hundred twenty-nine thousand, seven hundred sixty-eight".