38238120 has 48 divisors (see below), whose sum is σ = 124275060. Its totient is φ = 10196736.

The previous prime is 38238107. The next prime is 38238139. The reversal of 38238120 is 2183283.

It can be written as a sum of positive squares in 2 ways, for example, as 35354916 + 2883204 = 5946^2 + 1698^2 .

It is a super-2 number, since 2×38238120² = 2924307642268800, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52749 + ... + 53468.

Almost surely, 2^38238120 is an apocalyptic number.

38238120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38238120 is an abundant number, since it is smaller than the sum of its proper divisors (86036940).

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

38238120 is a wasteful number, since it uses less digits than its factorization.

38238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106234 (or 106227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38238120 is about 6183.6979227643. The cubic root of 38238120 is about 336.8983189318.

The spelling of 38238120 in words is "thirty-eight million, two hundred thirty-eight thousand, one hundred twenty".