38836261728 has 192 divisors, whose sum is σ = 130839287040. Its totient is φ = 11076249600.

The previous prime is 38836261693. The next prime is 38836261811. The reversal of 38836261728 is 82716263883.

38836261728 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 626 + 1 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 41383 + ... + 281753.

It is an arithmetic number, because the mean of its divisors is an integer number (681454620).

Almost surely, 2^38836261728 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 38836261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65419643520).

38836261728 is an abundant number, since it is smaller than the sum of its proper divisors (92003025312).

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

38836261728 is a wasteful number, since it uses less digits than its factorization.

38836261728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240418 (or 240404 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 38836261728 in words is "thirty-eight billion, eight hundred thirty-six million, two hundred sixty-one thousand, seven hundred twenty-eight".