34490584129 has 2 divisors, whose sum is σ = 34490584130. Its totient is φ = 34490584128.

The previous prime is 34490584127. The next prime is 34490584133. The reversal of 34490584129 is 92148509443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32652490000 + 1838094129 = 180700^2 + 42873^2 .

It is a cyclic number.

It is not a de Polignac number, because 34490584129 - 2¹ = 34490584127 is a prime.

Together with 34490584127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34490584127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17245292064 + 17245292065.

It is an arithmetic number, because the mean of its divisors is an integer number (17245292065).

Almost surely, 2^34490584129 is an apocalyptic number.

It is an amenable number.

34490584129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34490584129 is an equidigital number, since it uses as much as digits as its factorization.

34490584129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 34490584129 in words is "thirty-four billion, four hundred ninety million, five hundred eighty-four thousand, one hundred twenty-nine".