38638008272 has 80 divisors (see below), whose sum is σ = 80884532880. Its totient is φ = 17812094976.

The previous prime is 38638008271. The next prime is 38638008313. The reversal of 38638008272 is 27280083683.

38638008272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17235488656 + 21402519616 = 131284^2 + 146296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38638008271) 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, 11660888 + ... + 11664200.

It is an arithmetic number, because the mean of its divisors is an integer number (1011056661).

Almost surely, 2^38638008272 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 38638008272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40442266440).

38638008272 is an abundant number, since it is smaller than the sum of its proper divisors (42246524608).

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

38638008272 is a wasteful number, since it uses less digits than its factorization.

38638008272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 38638008272 in words is "thirty-eight billion, six hundred thirty-eight million, eight thousand, two hundred seventy-two".