38565120 has 216 divisors, whose sum is σ = 137013408. Its totient is φ = 9236480.

The previous prime is 38565119. The next prime is 38565139. The reversal of 38565120 is 2156583.

It is a super-2 number, since 2×38565120² = 2974536961228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464599 + ... + 464681.

Almost surely, 2^38565120 is an apocalyptic number.

38565120 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 38565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68506704).

38565120 is an abundant number, since it is smaller than the sum of its proper divisors (98448288).

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

38565120 is a wasteful number, since it uses less digits than its factorization.

38565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 38565120 is about 6210.0821250608. The cubic root of 38565120 is about 337.8559427190.

The spelling of 38565120 in words is "thirty-eight million, five hundred sixty-five thousand, one hundred twenty".