3506638609311 has 16 divisors (see below), whose sum is σ = 4777509454848. Its totient is φ = 2286815756000.

The previous prime is 3506638609291. The next prime is 3506638609351. The reversal of 3506638609311 is 1139068366053.

It is a cyclic number.

It is not a de Polignac number, because 3506638609311 - 2⁷ = 3506638609183 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506638609351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6273195 + ... + 6809276.

It is an arithmetic number, because the mean of its divisors is an integer number (298594340928).

Almost surely, 2^{3506638609311} is an apocalyptic number.

3506638609311 is a deficient number, since it is larger than the sum of its proper divisors (1270870845537).

3506638609311 is a wasteful number, since it uses less digits than its factorization.

3506638609311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13084422.

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 3506638609311 in words is "three trillion, five hundred six billion, six hundred thirty-eight million, six hundred nine thousand, three hundred eleven".