38735136 has 72 divisors (see below), whose sum is σ = 120176784. Its totient is φ = 11736960.

The previous prime is 38735113. The next prime is 38735143. The reversal of 38735136 is 63153783.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 38735136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2946 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (1669122).

Almost surely, 2^38735136 is an apocalyptic number.

38735136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38735136 is an abundant number, since it is smaller than the sum of its proper divisors (81441648).

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

38735136 is a wasteful number, since it uses less digits than its factorization.

38735136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12243 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 38735136 is about 6223.7557792703. The cubic root of 38735136 is about 338.3516990901.

It can be divided in two parts, 3873 and 5136, that added together give a palindrome (9009).

The spelling of 38735136 in words is "thirty-eight million, seven hundred thirty-five thousand, one hundred thirty-six".