381579312 has 80 divisors (see below), whose sum is σ = 1004400000. Its totient is φ = 124810752.

The previous prime is 381579307. The next prime is 381579343. The reversal of 381579312 is 213975183.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764439 + ... + 764937.

It is an arithmetic number, because the mean of its divisors is an integer number (12555000).

Almost surely, 2^381579312 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 381579312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200000).

381579312 is an abundant number, since it is smaller than the sum of its proper divisors (622820688).

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

381579312 is a wasteful number, since it uses less digits than its factorization.

381579312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 381579312 is about 19534.0551857519. The cubic root of 381579312 is about 725.3176963571.

The spelling of 381579312 in words is "three hundred eighty-one million, five hundred seventy-nine thousand, three hundred twelve".