3506538117056 has 28 divisors (see below), whose sum is σ = 7493539391352. Its totient is φ = 1618402207488.

The previous prime is 3506538116971. The next prime is 3506538117091. The reversal of 3506538117056 is 6507118356053.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3506538116995 and 3506538117013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2107293710 + ... + 2107295373.

It is an arithmetic number, because the mean of its divisors is an integer number (267626406834).

Almost surely, 2^{3506538117056} is an apocalyptic number.

It is an amenable number.

3506538117056 is an abundant number, since it is smaller than the sum of its proper divisors (3987001274296).

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

3506538117056 is a wasteful number, since it uses less digits than its factorization.

3506538117056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214589108 (or 4214589098 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 3506538117056 in words is "three trillion, five hundred six billion, five hundred thirty-eight million, one hundred seventeen thousand, fifty-six".