38908190858768 has 640 divisors, whose sum is σ = 101608536637440. Its totient is φ = 13993814016000.

The previous prime is 38908190858759. The next prime is 38908190858807. The reversal of 38908190858768 is 86785809180983.

It is a junction number, because it is equal to n+sod(n) for n = 38908190858692 and 38908190858701.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31453670246 + ... + 31453671482.

It is an arithmetic number, because the mean of its divisors is an integer number (158763338496).

Almost surely, 2^{38908190858768} 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 38908190858768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50804268318720).

38908190858768 is an abundant number, since it is smaller than the sum of its proper divisors (62700345778672).

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

38908190858768 is a wasteful number, since it uses less digits than its factorization.

38908190858768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 80.

The spelling of 38908190858768 in words is "thirty-eight trillion, nine hundred eight billion, one hundred ninety million, eight hundred fifty-eight thousand, seven hundred sixty-eight".