3413977497217 has 32 divisors (see below), whose sum is σ = 4042294502400. Its totient is φ = 2821118733888.

The previous prime is 3413977497209. The next prime is 3413977497241. The reversal of 3413977497217 is 7127947793143.

3413977497217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3413977497217 - 2³ = 3413977497209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3413977497817) 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, 467216478 + ... + 467223784.

It is an arithmetic number, because the mean of its divisors is an integer number (126321703200).

Almost surely, 2^{3413977497217} is an apocalyptic number.

It is an amenable number.

3413977497217 is a deficient number, since it is larger than the sum of its proper divisors (628317005183).

3413977497217 is a wasteful number, since it uses less digits than its factorization.

3413977497217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485.

The product of its digits is 56010528, while the sum is 64.

The spelling of 3413977497217 in words is "three trillion, four hundred thirteen billion, nine hundred seventy-seven million, four hundred ninety-seven thousand, two hundred seventeen".