3516087849984 has 264 divisors, whose sum is σ = 10362910970880. Its totient is φ = 1148001288192.

The previous prime is 3516087849961. The next prime is 3516087850007. The reversal of 3516087849984 is 4899487806153.

3516087849984 is a `hidden beast` number, since 3 + 5 + 1 + 60 + 8 + 78 + 499 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3516087849961) and next prime (3516087850007).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 87743937 + ... + 87783999.

Almost surely, 2^{3516087849984} 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 3516087849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181455485440).

3516087849984 is an abundant number, since it is smaller than the sum of its proper divisors (6846823120896).

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

3516087849984 is a wasteful number, since it uses less digits than its factorization.

3516087849984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40285 (or 40264 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 3516087849984 in words is "three trillion, five hundred sixteen billion, eighty-seven million, eight hundred forty-nine thousand, nine hundred eighty-four".