38768240809032 has 128 divisors (see below), whose sum is σ = 113797602320640. Its totient is φ = 10773717672960.

The previous prime is 38768240808961. The next prime is 38768240809097. The reversal of 38768240809032 is 23090804286783.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17851182 + ... + 19904802.

It is an arithmetic number, because the mean of its divisors is an integer number (889043768130).

Almost surely, 2^{38768240809032} 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 38768240809032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56898801160320).

38768240809032 is an abundant number, since it is smaller than the sum of its proper divisors (75029361511608).

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

38768240809032 is a wasteful number, since it uses less digits than its factorization.

38768240809032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056711 (or 2056707 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 38768240809032 in words is "thirty-eight trillion, seven hundred sixty-eight billion, two hundred forty million, eight hundred nine thousand, thirty-two".