34335713329 has 2 divisors, whose sum is σ = 34335713330. Its totient is φ = 34335713328.

The previous prime is 34335713267. The next prime is 34335713341. The reversal of 34335713329 is 92331753343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24230035600 + 10105677729 = 155660^2 + 100527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34335713329 is a prime.

It is a super-3 number, since 3×34335713329³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34335713389) 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, 17167856664 + 17167856665.

It is an arithmetic number, because the mean of its divisors is an integer number (17167856665).

Almost surely, 2^34335713329 is an apocalyptic number.

It is an amenable number.

34335713329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34335713329 is an equidigital number, since it uses as much as digits as its factorization.

34335713329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 612360, while the sum is 43.

The spelling of 34335713329 in words is "thirty-four billion, three hundred thirty-five million, seven hundred thirteen thousand, three hundred twenty-nine".