38268120 has 128 divisors (see below), whose sum is σ = 127837440. Its totient is φ = 9085440.

The previous prime is 38268103. The next prime is 38268121. The reversal of 38268120 is 2186283.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38268121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69687 + ... + 70233.

It is an arithmetic number, because the mean of its divisors is an integer number (998730).

Almost surely, 2^38268120 is an apocalyptic number.

38268120 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 38268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63918720).

38268120 is an abundant number, since it is smaller than the sum of its proper divisors (89569320).

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

38268120 is a wasteful number, since it uses less digits than its factorization.

38268120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38268120 is about 6186.1231801509. The cubic root of 38268120 is about 336.9864012569.

The spelling of 38268120 in words is "thirty-eight million, two hundred sixty-eight thousand, one hundred twenty".