38642688 has 132 divisors (see below), whose sum is σ = 127732800. Its totient is φ = 11022336.

The previous prime is 38642651. The next prime is 38642711. The reversal of 38642688 is 88624683.

It is a happy number.

38642688 is a `hidden beast` number, since 386 + 4 + 268 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 8.

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, 64213 + ... + 64811.

Almost surely, 2^38642688 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 38642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866400).

38642688 is an abundant number, since it is smaller than the sum of its proper divisors (89090112).

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

38642688 is a wasteful number, since it uses less digits than its factorization.

38642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 38642688 is about 6216.3243158638. The cubic root of 38642688 is about 338.0823066717.

The spelling of 38642688 in words is "thirty-eight million, six hundred forty-two thousand, six hundred eighty-eight".