38117520 has 160 divisors (see below), whose sum is σ = 150109440. Its totient is φ = 8709120.

The previous prime is 38117503. The next prime is 38117531. The reversal of 38117520 is 2571183.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13860 + ... + 16380.

It is an arithmetic number, because the mean of its divisors is an integer number (938184).

Almost surely, 2^38117520 is an apocalyptic number.

38117520 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 38117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054720).

38117520 is an abundant number, since it is smaller than the sum of its proper divisors (111991920).

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

38117520 is a wasteful number, since it uses less digits than its factorization.

38117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 38117520 is about 6173.9387752066. The cubic root of 38117520 is about 336.5437623898.

The spelling of 38117520 in words is "thirty-eight million, one hundred seventeen thousand, five hundred twenty".