3434351504009 has 2 divisors, whose sum is σ = 3434351504010. Its totient is φ = 3434351504008.

The previous prime is 3434351503939. The next prime is 3434351504021. The reversal of 3434351504009 is 9004051534343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3386969098384 + 47382405625 = 1840372^2 + 217675^2 .

It is a cyclic number.

It is not a de Polignac number, because 3434351504009 - 2²⁴ = 3434334726793 is a prime.

It is not a weakly prime, because it can be changed into another prime (3434351504209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1717175752004 + 1717175752005.

It is an arithmetic number, because the mean of its divisors is an integer number (1717175752005).

Almost surely, 2^{3434351504009} is an apocalyptic number.

It is an amenable number.

3434351504009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3434351504009 is an equidigital number, since it uses as much as digits as its factorization.

3434351504009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 3434351504009 in words is "three trillion, four hundred thirty-four billion, three hundred fifty-one million, five hundred four thousand, nine".