3427945598593 has 2 divisors, whose sum is σ = 3427945598594. Its totient is φ = 3427945598592.

The previous prime is 3427945598549. The next prime is 3427945598599. The reversal of 3427945598593 is 3958955497243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2385702663184 + 1042242935409 = 1544572^2 + 1020903^2 .

It is a cyclic number.

It is not a de Polignac number, because 3427945598593 - 2⁹ = 3427945598081 is a prime.

It is a super-2 number, since 2×3427945598593² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3427945598599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1713972799296 + 1713972799297.

It is an arithmetic number, because the mean of its divisors is an integer number (1713972799297).

Almost surely, 2^{3427945598593} is an apocalyptic number.

It is an amenable number.

3427945598593 is a deficient number, since it is larger than the sum of its proper divisors (1).

3427945598593 is an equidigital number, since it uses as much as digits as its factorization.

3427945598593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1469664000, while the sum is 73.

The spelling of 3427945598593 in words is "three trillion, four hundred twenty-seven billion, nine hundred forty-five million, five hundred ninety-eight thousand, five hundred ninety-three".