38996516000 has 192 divisors, whose sum is σ = 103499454240. Its totient is φ = 14354841600.

The previous prime is 38996515973. The next prime is 38996516033. The reversal of 38996516000 is 61569983.

It can be written as a sum of positive squares in 16 ways, for example, as 4106759056 + 34889756944 = 64084^2 + 186788^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20643056 + ... + 20644944.

Almost surely, 2^38996516000 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 38996516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51749727120).

38996516000 is an abundant number, since it is smaller than the sum of its proper divisors (64502938240).

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

38996516000 is a wasteful number, since it uses less digits than its factorization.

38996516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 38996516000 in words is "thirty-eight billion, nine hundred ninety-six million, five hundred sixteen thousand".