3346436346433 has 24 divisors (see below), whose sum is σ = 3580912740600. Its totient is φ = 3116488320000.

The previous prime is 3346436346401. The next prime is 3346436346437.

It is a happy number.

3346436346433 is nontrivially palindromic in base 10.

3346436346433 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1713093557904 + 1633342788529 = 1308852^2 + 1278023^2 .

It is not a de Polignac number, because 3346436346433 - 2⁵ = 3346436346401 is a prime.

It is a super-2 number, since 2×3346436346433² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3346436346437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337984783 + ... + 337994683.

It is an arithmetic number, because the mean of its divisors is an integer number (149204697525).

Almost surely, 2^{3346436346433} is an apocalyptic number.

It is an amenable number.

3346436346433 is a deficient number, since it is larger than the sum of its proper divisors (234476394167).

3346436346433 is a wasteful number, since it uses less digits than its factorization.

3346436346433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069 (or 11968 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 52.

The spelling of 3346436346433 in words is "three trillion, three hundred forty-six billion, four hundred thirty-six million, three hundred forty-six thousand, four hundred thirty-three".