38765520 has 160 divisors (see below), whose sum is σ = 135527040. Its totient is φ = 10183680.

The previous prime is 38765513. The next prime is 38765527. The reversal of 38765520 is 2556783.

38765520 is a `hidden beast` number, since 38 + 76 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38765513) and next prime (38765527).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38765527) 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, 282892 + ... + 283028.

It is an arithmetic number, because the mean of its divisors is an integer number (847044).

Almost surely, 2^38765520 is an apocalyptic number.

38765520 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 38765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67763520).

38765520 is an abundant number, since it is smaller than the sum of its proper divisors (96761520).

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

38765520 is a wasteful number, since it uses less digits than its factorization.

38765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 38765520 is about 6226.1962705973. The cubic root of 38765520 is about 338.4401441234.

The spelling of 38765520 in words is "thirty-eight million, seven hundred sixty-five thousand, five hundred twenty".