38850160752 has 360 divisors, whose sum is σ = 126871879680. Its totient is φ = 11060375040.

The previous prime is 38850160717. The next prime is 38850160763. The reversal of 38850160752 is 25706105883.

38850160752 is a `hidden beast` number, since 3 + 88 + 501 + 60 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38850160698 and 38850160707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17350449 + ... + 17352687.

It is an arithmetic number, because the mean of its divisors is an integer number (352421888).

Almost surely, 2^38850160752 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 38850160752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63435939840).

38850160752 is an abundant number, since it is smaller than the sum of its proper divisors (88021718928).

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

38850160752 is a wasteful number, since it uses less digits than its factorization.

38850160752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 38850160752 in words is "thirty-eight billion, eight hundred fifty million, one hundred sixty thousand, seven hundred fifty-two".