38831520 has 288 divisors, whose sum is σ = 154441728. Its totient is φ = 8128512.

The previous prime is 38831489. The next prime is 38831543. The reversal of 38831520 is 2513883.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 305697 + ... + 305823.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 2^38831520 is an apocalyptic number.

38831520 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 38831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

38831520 is an abundant number, since it is smaller than the sum of its proper divisors (115610208).

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

38831520 is a wasteful number, since it uses less digits than its factorization.

38831520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38831520 is about 6231.4942028377. The cubic root of 38831520 is about 338.6321049595.

The spelling of 38831520 in words is "thirty-eight million, eight hundred thirty-one thousand, five hundred twenty".