381688320 has 160 divisors (see below), whose sum is σ = 1314415872. Its totient is φ = 93929472.

The previous prime is 381688313. The next prime is 381688331. The reversal of 381688320 is 23886183.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 97929 + ... + 101751.

Almost surely, 2^381688320 is an apocalyptic number.

381688320 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 381688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657207936).

381688320 is an abundant number, since it is smaller than the sum of its proper divisors (932727552).

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

381688320 is a wasteful number, since it uses less digits than its factorization.

381688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 381688320 is about 19536.8451905624. The cubic root of 381688320 is about 725.3867583678.

The spelling of 381688320 in words is "three hundred eighty-one million, six hundred eighty-eight thousand, three hundred twenty".