38925600 has 216 divisors, whose sum is σ = 147834288. Its totient is φ = 8870400.

The previous prime is 38925599. The next prime is 38925613. The reversal of 38925600 is 652983.

It is a happy number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 117435 + ... + 117765.

It is an arithmetic number, because the mean of its divisors is an integer number (684418).

Almost surely, 2^38925600 is an apocalyptic number.

38925600 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 38925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73917144).

38925600 is an abundant number, since it is smaller than the sum of its proper divisors (108908688).

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

38925600 is a wasteful number, since it uses less digits than its factorization.

38925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 38925600 is about 6239.0383874440. The cubic root of 38925600 is about 338.9053607609.

The spelling of 38925600 in words is "thirty-eight million, nine hundred twenty-five thousand, six hundred".