38259312200 has 36 divisors (see below), whose sum is σ = 88959332745. Its totient is φ = 15302618400.

The previous prime is 38259312197. The next prime is 38259312251. The reversal of 38259312200 is 221395283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 37494125956 + 765186244 = 193634^2 + 27662^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138310.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2759285 + ... + 2773115.

Almost surely, 2^38259312200 is an apocalyptic number.

It is an amenable number.

38259312200 is an abundant number, since it is smaller than the sum of its proper divisors (50700020545).

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

38259312200 is an frugal number, since it uses more digits than its factorization.

38259312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27678 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 38259312200 in words is "thirty-eight billion, two hundred fifty-nine million, three hundred twelve thousand, two hundred".