381088320 has 224 divisors, whose sum is σ = 1349654400. Its totient is φ = 90537984.

The previous prime is 381088297. The next prime is 381088321. The reversal of 381088320 is 23880183.

It is not an unprimeable number, because it can be changed into a prime (381088321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309466 + ... + 310694.

Almost surely, 2^381088320 is an apocalyptic number.

381088320 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 381088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674827200).

381088320 is an abundant number, since it is smaller than the sum of its proper divisors (968566080).

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

381088320 is a wasteful number, since it uses less digits than its factorization.

381088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 381088320 is about 19521.4835501813. The cubic root of 381088320 is about 725.0064652614.

The spelling of 381088320 in words is "three hundred eighty-one million, eighty-eight thousand, three hundred twenty".