38328767912200 has 96 divisors (see below), whose sum is σ = 94379907636360. Its totient is φ = 14426060083200.

The previous prime is 38328767912153. The next prime is 38328767912221. The reversal of 38328767912200 is 221976782383.

It can be written as a sum of positive squares in 12 ways, for example, as 1930882551844 + 36397885360356 = 1389562^2 + 6033066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12269614 + ... + 15073186.

Almost surely, 2^{38328767912200} 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 38328767912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47189953818180).

38328767912200 is an abundant number, since it is smaller than the sum of its proper divisors (56051139724160).

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

38328767912200 is a wasteful number, since it uses less digits than its factorization.

38328767912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807627 (or 2807618 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 38328767912200 in words is "thirty-eight trillion, three hundred twenty-eight billion, seven hundred sixty-seven million, nine hundred twelve thousand, two hundred".