38318660928 has 420 divisors, whose sum is σ = 120840863220. Its totient is φ = 12003323904.

The previous prime is 38318660921. The next prime is 38318661013. The reversal of 38318660928 is 82906681383.

It is a happy number.

38318660928 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 8 + 6 + 609 + 28 = 666.

38318660928 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 2 ways, for example, as 9225218304 + 29093442624 = 96048^2 + 170568^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38318660921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 244067826 + ... + 244067982.

It is an arithmetic number, because the mean of its divisors is an integer number (287716341).

Almost surely, 2^38318660928 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 38318660928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60420431610).

38318660928 is an abundant number, since it is smaller than the sum of its proper divisors (82522202292).

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

38318660928 is a wasteful number, since it uses less digits than its factorization.

38318660928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38318660928 in words is "thirty-eight billion, three hundred eighteen million, six hundred sixty thousand, nine hundred twenty-eight".