38922624 has 192 divisors, whose sum is σ = 126977760. Its totient is φ = 11354112.

The previous prime is 38922623. The next prime is 38922629. The reversal of 38922624 is 42622983.

38922624 is a `hidden beast` number, since 3 + 8 + 9 + 22 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38922623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344392 + ... + 344504.

Almost surely, 2^38922624 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 38922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

38922624 is an abundant number, since it is smaller than the sum of its proper divisors (88055136).

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

38922624 is a wasteful number, since it uses less digits than its factorization.

38922624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38922624 is about 6238.7998845932. The cubic root of 38922624 is about 338.8967237023.

The spelling of 38922624 in words is "thirty-eight million, nine hundred twenty-two thousand, six hundred twenty-four".