34001220809 has 2 divisors, whose sum is σ = 34001220810. Its totient is φ = 34001220808.

The previous prime is 34001220793. The next prime is 34001220811. The reversal of 34001220809 is 90802210043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21843953209 + 12157267600 = 147797^2 + 110260^2 .

It is a cyclic number.

It is not a de Polignac number, because 34001220809 - 2⁴ = 34001220793 is a prime.

It is a super-2 number, since 2×34001220809² (a number of 22 digits) contains 22 as substring.

Together with 34001220811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34001220859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000610404 + 17000610405.

It is an arithmetic number, because the mean of its divisors is an integer number (17000610405).

Almost surely, 2^34001220809 is an apocalyptic number.

It is an amenable number.

34001220809 is a deficient number, since it is larger than the sum of its proper divisors (1).

34001220809 is an equidigital number, since it uses as much as digits as its factorization.

34001220809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 34001220809 in words is "thirty-four billion, one million, two hundred twenty thousand, eight hundred nine".