38561887728 has 240 divisors, whose sum is σ = 137744961536. Its totient is φ = 10170074880.

The previous prime is 38561887723. The next prime is 38561887733. The reversal of 38561887728 is 82778816583.

38561887728 is a `hidden beast` number, since 3 + 8 + 5 + 618 + 8 + 7 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38561887723) and next prime (38561887733).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38561887723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299313 + ... + 408303.

Almost surely, 2^38561887728 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 38561887728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68872480768).

38561887728 is an abundant number, since it is smaller than the sum of its proper divisors (99183073808).

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

38561887728 is a wasteful number, since it uses less digits than its factorization.

38561887728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109034 (or 109016 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 38561887728 in words is "thirty-eight billion, five hundred sixty-one million, eight hundred eighty-seven thousand, seven hundred twenty-eight".