38713600 has 108 divisors (see below), whose sum is σ = 100368576. Its totient is φ = 14755840.

The previous prime is 38713567. The next prime is 38713643. The reversal of 38713600 is 631783.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147069 + ... + 147331.

Almost surely, 2^38713600 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 38713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50184288).

38713600 is an abundant number, since it is smaller than the sum of its proper divisors (61654976).

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

38713600 is a wasteful number, since it uses less digits than its factorization.

38713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 38713600 is about 6222.0253937122. The cubic root of 38713600 is about 338.2889817591.

The spelling of 38713600 in words is "thirty-eight million, seven hundred thirteen thousand, six hundred".