38509517952 has 96 divisors (see below), whose sum is σ = 110887081500. Its totient is φ = 12828174336.

The previous prime is 38509517947. The next prime is 38509517993. The reversal of 38509517952 is 25971590583.

38509517952 is a `hidden beast` number, since 38 + 5 + 0 + 9 + 517 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38062449216 + 447068736 = 195096^2 + 21144^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912674 + ... + 1932702.

Almost surely, 2^38509517952 is an apocalyptic number.

38509517952 is a gapful number since it is divisible by the number (32) 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 38509517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55443540750).

38509517952 is an abundant number, since it is smaller than the sum of its proper divisors (72377563548).

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

38509517952 is a wasteful number, since it uses less digits than its factorization.

38509517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21718 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 38509517952 in words is "thirty-eight billion, five hundred nine million, five hundred seventeen thousand, nine hundred fifty-two".