38235120 has 160 divisors (see below), whose sum is σ = 147847680. Its totient is φ = 7941120.

The previous prime is 38235061. The next prime is 38235157. The reversal of 38235120 is 2153283.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 17446 + ... + 19514.

It is an arithmetic number, because the mean of its divisors is an integer number (924048).

Almost surely, 2^38235120 is an apocalyptic number.

38235120 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 38235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73923840).

38235120 is an abundant number, since it is smaller than the sum of its proper divisors (109612560).

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

38235120 is a wasteful number, since it uses less digits than its factorization.

38235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 38235120 is about 6183.4553447082. The cubic root of 38235120 is about 336.8895081657.

The spelling of 38235120 in words is "thirty-eight million, two hundred thirty-five thousand, one hundred twenty".