3506513216576 has 112 divisors (see below), whose sum is σ = 7447058528256. Its totient is φ = 1632390488064.

The previous prime is 3506513216483. The next prime is 3506513216623. The reversal of 3506513216576 is 6756123156053.

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, 47910506 + ... + 47983638.

Almost surely, 2^{3506513216576} 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 3506513216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723529264128).

3506513216576 is an abundant number, since it is smaller than the sum of its proper divisors (3940545311680).

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

3506513216576 is a wasteful number, since it uses less digits than its factorization.

3506513216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73636 (or 73626 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 3506513216576 in words is "three trillion, five hundred six billion, five hundred thirteen million, two hundred sixteen thousand, five hundred seventy-six".