38604890688 has 672 divisors, whose sum is σ = 138641328000. Its totient is φ = 9364045824.

The previous prime is 38604890663. The next prime is 38604890689. The reversal of 38604890688 is 88609840683.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×38604890688² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38604890689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85979488 + ... + 85979936.

It is an arithmetic number, because the mean of its divisors is an integer number (206311500).

Almost surely, 2^38604890688 is an apocalyptic number.

38604890688 is a gapful number since it is divisible by the number (38) 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 38604890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69320664000).

38604890688 is an abundant number, since it is smaller than the sum of its proper divisors (100036437312).

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

38604890688 is a wasteful number, since it uses less digits than its factorization.

38604890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 38604890688 in words is "thirty-eight billion, six hundred four million, eight hundred ninety thousand, six hundred eighty-eight".