3345417704013 has 64 divisors (see below), whose sum is σ = 5650248806400. Its totient is φ = 1710164482560.

The previous prime is 3345417703913. The next prime is 3345417704023. The reversal of 3345417704013 is 3104077145433.

3345417704013 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 3345417704013 - 2⁸ = 3345417703757 is a prime.

It is a super-2 number, since 2×3345417704013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345417704023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7176903 + ... + 7628811.

It is an arithmetic number, because the mean of its divisors is an integer number (88285137600).

Almost surely, 2^{3345417704013} is an apocalyptic number.

3345417704013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3345417704013 is a deficient number, since it is larger than the sum of its proper divisors (2304831102387).

3345417704013 is a wasteful number, since it uses less digits than its factorization.

3345417704013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452442.

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 3345417704013 in words is "three trillion, three hundred forty-five billion, four hundred seventeen million, seven hundred four thousand, thirteen".