3886517990016 has 384 divisors, whose sum is σ = 11621913488640. Its totient is φ = 1245897031680.

The previous prime is 3886517990011. The next prime is 3886517990057. The reversal of 3886517990016 is 6100997156883.

3886517990016 is a `hidden beast` number, since 38 + 86 + 517 + 9 + 9 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3886517990011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867330496 + ... + 867334976.

It is an arithmetic number, because the mean of its divisors is an integer number (30265399710).

Almost surely, 2^{3886517990016} is an apocalyptic number.

3886517990016 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 3886517990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810956744320).

3886517990016 is an abundant number, since it is smaller than the sum of its proper divisors (7735395498624).

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

3886517990016 is a wasteful number, since it uses less digits than its factorization.

3886517990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 3886517990016 in words is "three trillion, eight hundred eighty-six billion, five hundred seventeen million, nine hundred ninety thousand, sixteen".