3513610336768 has 320 divisors, whose sum is σ = 8805571264512. Its totient is φ = 1367546019840.

The previous prime is 3513610336763. The next prime is 3513610336783. The reversal of 3513610336768 is 8676330163153.

It is not an unprimeable number, because it can be changed into a prime (3513610336763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135422805 + ... + 135448747.

Almost surely, 2^{3513610336768} 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 3513610336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402785632256).

3513610336768 is an abundant number, since it is smaller than the sum of its proper divisors (5291960927744).

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

3513610336768 is a wasteful number, since it uses less digits than its factorization.

3513610336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26075 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 3513610336768 in words is "three trillion, five hundred thirteen billion, six hundred ten million, three hundred thirty-six thousand, seven hundred sixty-eight".