3987560918016 has 528 divisors, whose sum is σ = 13535929971200. Its totient is φ = 1162348019712.

The previous prime is 3987560917987. The next prime is 3987560918059. The reversal of 3987560918016 is 6108190657893.

3987560918016 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 5 + 609 + 1 + 8 + 0 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61429065 + ... + 61493943.

Almost surely, 2^{3987560918016} is an apocalyptic number.

3987560918016 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 3987560918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767964985600).

3987560918016 is an abundant number, since it is smaller than the sum of its proper divisors (9548369053184).

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

3987560918016 is a wasteful number, since it uses less digits than its factorization.

3987560918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64946 (or 64916 counting only the distinct ones).

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

The spelling of 3987560918016 in words is "three trillion, nine hundred eighty-seven billion, five hundred sixty million, nine hundred eighteen thousand, sixteen".