3349347722593 has 2 divisors, whose sum is σ = 3349347722594. Its totient is φ = 3349347722592.

The previous prime is 3349347722587. The next prime is 3349347722647. The reversal of 3349347722593 is 3952277439433.

3349347722593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3320729910369 + 28617812224 = 1822287^2 + 169168^2 .

It is a cyclic number.

It is not a de Polignac number, because 3349347722593 - 2²⁹ = 3348810851681 is a prime.

It is a super-2 number, since 2×3349347722593² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3349347722293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1674673861296 + 1674673861297.

It is an arithmetic number, because the mean of its divisors is an integer number (1674673861297).

Almost surely, 2^{3349347722593} is an apocalyptic number.

It is an amenable number.

3349347722593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3349347722593 is an equidigital number, since it uses as much as digits as its factorization.

3349347722593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 102876480, while the sum is 61.

The spelling of 3349347722593 in words is "three trillion, three hundred forty-nine billion, three hundred forty-seven million, seven hundred twenty-two thousand, five hundred ninety-three".