38765160 has 96 divisors (see below), whose sum is σ = 143994240. Its totient is φ = 8860032.

The previous prime is 38765123. The next prime is 38765161. The reversal of 38765160 is 6156783.

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

It is not an unprimeable number, because it can be changed into a prime (38765161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5172 + ... + 10211.

It is an arithmetic number, because the mean of its divisors is an integer number (1499940).

Almost surely, 2^38765160 is an apocalyptic number.

38765160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38765160 is an abundant number, since it is smaller than the sum of its proper divisors (105229080).

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

38765160 is a wasteful number, since it uses less digits than its factorization.

38765160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15407 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38765160 is about 6226.1673604233. The cubic root of 38765160 is about 338.4390964671.

The spelling of 38765160 in words is "thirty-eight million, seven hundred sixty-five thousand, one hundred sixty".