38568120 has 64 divisors (see below), whose sum is σ = 116173440. Its totient is φ = 10243200.

The previous prime is 38568113. The next prime is 38568133. The reversal of 38568120 is 2186583.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39235 + ... + 40205.

It is an arithmetic number, because the mean of its divisors is an integer number (1815210).

Almost surely, 2^38568120 is an apocalyptic number.

38568120 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 38568120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58086720).

38568120 is an abundant number, since it is smaller than the sum of its proper divisors (77605320).

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

38568120 is a wasteful number, since it uses less digits than its factorization.

38568120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 38568120 is about 6210.3236630630. The cubic root of 38568120 is about 337.8647031528.

The spelling of 38568120 in words is "thirty-eight million, five hundred sixty-eight thousand, one hundred twenty".