38632365632 has 112 divisors (see below), whose sum is σ = 93436318080. Its totient is φ = 15470272512.

The previous prime is 38632365623. The next prime is 38632365637. The reversal of 38632365632 is 23656323683.

38632365632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (38632365637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040378 + ... + 1076870.

It is an arithmetic number, because the mean of its divisors is an integer number (834252840).

Almost surely, 2^38632365632 is an apocalyptic number.

38632365632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38632365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46718159040).

38632365632 is an abundant number, since it is smaller than the sum of its proper divisors (54803952448).

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

38632365632 is a wasteful number, since it uses less digits than its factorization.

38632365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36668 (or 36658 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 47.

The spelling of 38632365632 in words is "thirty-eight billion, six hundred thirty-two million, three hundred sixty-five thousand, six hundred thirty-two".