38750624 has 48 divisors (see below), whose sum is σ = 83734560. Its totient is φ = 17506560.

The previous prime is 38750623. The next prime is 38750629. The reversal of 38750624 is 42605783.

It is a happy number.

It is a Cunningham number, because it is equal to 6225²-1.

It is a super-2 number, since 2×38750624² = 3003221720778752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38750623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99422 + ... + 99810.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 2^38750624 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 38750624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41867280).

38750624 is an abundant number, since it is smaller than the sum of its proper divisors (44983936).

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

38750624 is a wasteful number, since it uses less digits than its factorization.

38750624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 38750624 is about 6224.9999196787. Note that the first 4 decimals coincide. The cubic root of 38750624 is about 338.3967890125.

The spelling of 38750624 in words is "thirty-eight million, seven hundred fifty thousand, six hundred twenty-four".