3506838105011 has 16 divisors (see below), whose sum is σ = 3663179043840. Its totient is φ = 3350820950400.

The previous prime is 3506838104977. The next prime is 3506838105049. The reversal of 3506838105011 is 1105018386053.

It is a cyclic number.

It is not a de Polignac number, because 3506838105011 - 2¹⁴ = 3506838088627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3506838105011.

It is not an unprimeable number, because it can be changed into a prime (3506838105311) 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, 152439836 + ... + 152462838.

It is an arithmetic number, because the mean of its divisors is an integer number (228948690240).

Almost surely, 2^{3506838105011} is an apocalyptic number.

3506838105011 is a deficient number, since it is larger than the sum of its proper divisors (156340938829).

3506838105011 is a wasteful number, since it uses less digits than its factorization.

3506838105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29746.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 3506838105011 in words is "three trillion, five hundred six billion, eight hundred thirty-eight million, one hundred five thousand, eleven".