38750358688400 has 60 divisors (see below), whose sum is σ = 93261353705700. Its totient is φ = 15472902359040.

The previous prime is 38750358688361. The next prime is 38750358688403. The reversal of 38750358688400 is 488685305783.

It can be written as a sum of positive squares in 6 ways, for example, as 1444111730944 + 37306246957456 = 1201712^2 + 6107884^2 .

It is not an unprimeable number, because it can be changed into a prime (38750358688403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84900605 + ... + 85355804.

It is an arithmetic number, because the mean of its divisors is an integer number (1554355895095).

Almost surely, 2^{38750358688400} is an apocalyptic number.

It is an amenable number.

38750358688400 is an abundant number, since it is smaller than the sum of its proper divisors (54510995017300).

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

38750358688400 is a wasteful number, since it uses less digits than its factorization.

38750358688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170256996 (or 170256985 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 65.

The spelling of 38750358688400 in words is "thirty-eight trillion, seven hundred fifty billion, three hundred fifty-eight million, six hundred eighty-eight thousand, four hundred".