38274688 has 32 divisors (see below), whose sum is σ = 77405760. Its totient is φ = 18847488.

The previous prime is 38274679. The next prime is 38274707. The reversal of 38274688 is 88647283.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6345 + ... + 10807.

It is an arithmetic number, because the mean of its divisors is an integer number (2418930).

Almost surely, 2^38274688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38702880).

38274688 is an abundant number, since it is smaller than the sum of its proper divisors (39131072).

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

38274688 is an equidigital number, since it uses as much as digits as its factorization.

38274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4532 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 38274688 is about 6186.6540229756. The cubic root of 38274688 is about 337.0056792710.

It can be divided in two parts, 3827 and 4688, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 38274688 in words is "thirty-eight million, two hundred seventy-four thousand, six hundred eighty-eight".