34004413129 has 2 divisors, whose sum is σ = 34004413130. Its totient is φ = 34004413128.

The previous prime is 34004413127. The next prime is 34004413133. The reversal of 34004413129 is 92131440043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33754140729 + 250272400 = 183723^2 + 15820^2 .

It is an emirp because it is prime and its reverse (92131440043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34004413129 - 2¹ = 34004413127 is a prime.

It is a super-2 number, since 2×34004413129² (a number of 22 digits) contains 22 as substring.

Together with 34004413127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 34004413129.

It is not a weakly prime, because it can be changed into another prime (34004413127) 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, 17002206564 + 17002206565.

It is an arithmetic number, because the mean of its divisors is an integer number (17002206565).

Almost surely, 2^34004413129 is an apocalyptic number.

It is an amenable number.

34004413129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004413129 is an equidigital number, since it uses as much as digits as its factorization.

34004413129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 34004413129 in words is "thirty-four billion, four million, four hundred thirteen thousand, one hundred twenty-nine".