381731520 has 224 divisors, whose sum is σ = 1273430016. Its totient is φ = 96768000.

The previous prime is 381731503. The next prime is 381731531. The reversal of 381731520 is 25137183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005697 + ... + 3005823.

Almost surely, 2^381731520 is an apocalyptic number.

381731520 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 381731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636715008).

381731520 is an abundant number, since it is smaller than the sum of its proper divisors (891698496).

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

381731520 is a wasteful number, since it uses less digits than its factorization.

381731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 381731520 is about 19537.9507625544. The cubic root of 381731520 is about 725.4141240867.

It can be divided in two parts, 38173 and 1520, that added together give a palindrome (39693).

The spelling of 381731520 in words is "three hundred eighty-one million, seven hundred thirty-one thousand, five hundred twenty".