380137920 has 112 divisors (see below), whose sum is σ = 1211397120. Its totient is φ = 100996096.

The previous prime is 380137913. The next prime is 380137949. The reversal of 380137920 is 29731083.

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, 344089 + ... + 345191.

Almost surely, 2^380137920 is an apocalyptic number.

380137920 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 380137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605698560).

380137920 is an abundant number, since it is smaller than the sum of its proper divisors (831259200).

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

380137920 is a wasteful number, since it uses less digits than its factorization.

380137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 380137920 is about 19497.1259420459. The cubic root of 380137920 is about 724.4032632304.

The spelling of 380137920 in words is "three hundred eighty million, one hundred thirty-seven thousand, nine hundred twenty".