379507824 has 120 divisors (see below), whose sum is σ = 1137427200. Its totient is φ = 117763200.

The previous prime is 379507787. The next prime is 379507841. The reversal of 379507824 is 428705973.

It is a self number, because there is not a number n which added to its sum of digits gives 379507824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160249 + ... + 162599.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^379507824 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 379507824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568713600).

379507824 is an abundant number, since it is smaller than the sum of its proper divisors (757919376).

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

379507824 is a wasteful number, since it uses less digits than its factorization.

379507824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 379507824 is about 19480.9605512665. The cubic root of 379507824 is about 724.0027980316.

The spelling of 379507824 in words is "three hundred seventy-nine million, five hundred seven thousand, eight hundred twenty-four".