3513872736416 has 96 divisors (see below), whose sum is σ = 8123109079680. Its totient is φ = 1465158352896.

The previous prime is 3513872736391. The next prime is 3513872736421. The reversal of 3513872736416 is 6146372783153.

It is a super-3 number, since 3×3513872736416³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88565 + ... + 2652468.

It is an arithmetic number, because the mean of its divisors is an integer number (84615719580).

Almost surely, 2^{3513872736416} 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 3513872736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061554539840).

3513872736416 is an abundant number, since it is smaller than the sum of its proper divisors (4609236343264).

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

3513872736416 is a wasteful number, since it uses less digits than its factorization.

3513872736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741206 (or 2741198 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 56.

It can be divided in two parts, 351387 and 2736416, that added together give a palindrome (3087803).

The spelling of 3513872736416 in words is "three trillion, five hundred thirteen billion, eight hundred seventy-two million, seven hundred thirty-six thousand, four hundred sixteen".