38991782016 has 192 divisors, whose sum is σ = 122576500800. Its totient is φ = 11798968320.

The previous prime is 38991782009. The next prime is 38991782041. The reversal of 38991782016 is 61028719983.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38991782016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11238330 + ... + 11241798.

It is an arithmetic number, because the mean of its divisors is an integer number (638419275).

Almost surely, 2^38991782016 is an apocalyptic number.

38991782016 is a gapful number since it is divisible by the number (36) 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 38991782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61288250400).

38991782016 is an abundant number, since it is smaller than the sum of its proper divisors (83584718784).

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

38991782016 is a wasteful number, since it uses less digits than its factorization.

38991782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 38991782016 in words is "thirty-eight billion, nine hundred ninety-one million, seven hundred eighty-two thousand, sixteen".