379533568 has 72 divisors (see below), whose sum is σ = 824177592. Its totient is φ = 173703168.

The previous prime is 379533559. The next prime is 379533571. The reversal of 379533568 is 865335973.

It can be written as a sum of positive squares in 4 ways, for example, as 119421184 + 260112384 = 10928^2 + 16128^2 .

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 7 ways as a sum of consecutive naturals, for example, 159846 + ... + 162202.

It is an arithmetic number, because the mean of its divisors is an integer number (11446911).

Almost surely, 2^379533568 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 379533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412088796).

379533568 is an abundant number, since it is smaller than the sum of its proper divisors (444644024).

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

379533568 is a wasteful number, since it uses less digits than its factorization.

379533568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2413 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 49.

The square root of 379533568 is about 19481.6212877676. The cubic root of 379533568 is about 724.0191686265.

The spelling of 379533568 in words is "three hundred seventy-nine million, five hundred thirty-three thousand, five hundred sixty-eight".