38712800 has 144 divisors (see below), whose sum is σ = 111992832. Its totient is φ = 12787200.

The previous prime is 38712763. The next prime is 38712809. The reversal of 38712800 is 821783.

38712800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38712809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173489 + ... + 173711.

It is an arithmetic number, because the mean of its divisors is an integer number (777728).

Almost surely, 2^38712800 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 38712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55996416).

38712800 is an abundant number, since it is smaller than the sum of its proper divisors (73280032).

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

38712800 is a wasteful number, since it uses less digits than its factorization.

38712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 38712800 is about 6221.9611056322. The cubic root of 38712800 is about 338.2866515440.

The spelling of 38712800 in words is "thirty-eight million, seven hundred twelve thousand, eight hundred".