38688624 has 120 divisors (see below), whose sum is σ = 121051280. Its totient is φ = 11760768.

The previous prime is 38688619. The next prime is 38688641. The reversal of 38688624 is 42688683.

It is a happy number.

38688624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38688624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466087 + ... + 466169.

Almost surely, 2^38688624 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 38688624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60525640).

38688624 is an abundant number, since it is smaller than the sum of its proper divisors (82362656).

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

38688624 is a wasteful number, since it uses less digits than its factorization.

38688624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 101 counting only the distinct ones).

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

The square root of 38688624 is about 6220.0180064048. The cubic root of 38688624 is about 338.2162172936.

The spelling of 38688624 in words is "thirty-eight million, six hundred eighty-eight thousand, six hundred twenty-four".