34355409276893 has 2 divisors, whose sum is σ = 34355409276894. Its totient is φ = 34355409276892.

The previous prime is 34355409276817. The next prime is 34355409276917. The reversal of 34355409276893 is 39867290455343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32947290040729 + 1408119236164 = 5739973^2 + 1186642^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34355409276893 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34355409275893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17177704638446 + 17177704638447.

It is an arithmetic number, because the mean of its divisors is an integer number (17177704638447).

Almost surely, 2^{34355409276893} is an apocalyptic number.

It is an amenable number.

34355409276893 is a deficient number, since it is larger than the sum of its proper divisors (1).

34355409276893 is an equidigital number, since it uses as much as digits as its factorization.

34355409276893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 587865600, while the sum is 68.

The spelling of 34355409276893 in words is "thirty-four trillion, three hundred fifty-five billion, four hundred nine million, two hundred seventy-six thousand, eight hundred ninety-three".