381615360 has 144 divisors (see below), whose sum is σ = 1392994176. Its totient is φ = 87220224.

The previous prime is 381615359. The next prime is 381615383. The reversal of 381615360 is 63516183.

It is a congruent number.

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, 19782 + ... + 33978.

Almost surely, 2^381615360 is an apocalyptic number.

381615360 is a gapful number since it is divisible by the number (30) 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 381615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696497088).

381615360 is an abundant number, since it is smaller than the sum of its proper divisors (1011378816).

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

381615360 is a wasteful number, since it uses less digits than its factorization.

381615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 381615360 is about 19534.9778602383. The cubic root of 381615360 is about 725.3405360204.

The spelling of 381615360 in words is "three hundred eighty-one million, six hundred fifteen thousand, three hundred sixty".