38625600 has 168 divisors, whose sum is σ = 136692640. Its totient is φ = 9492480.

The previous prime is 38625583. The next prime is 38625617. The reversal of 38625600 is 652683.

It is an interprime number because it is at equal distance from previous prime (38625583) and next prime (38625617).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62091 + ... + 62709.

Almost surely, 2^38625600 is an apocalyptic number.

38625600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68346320).

38625600 is an abundant number, since it is smaller than the sum of its proper divisors (98067040).

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

38625600 is a wasteful number, since it uses less digits than its factorization.

38625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 38625600 is about 6214.9497182198. The cubic root of 38625600 is about 338.0324653992.

The spelling of 38625600 in words is "thirty-eight million, six hundred twenty-five thousand, six hundred".