34014362321 has 2 divisors, whose sum is σ = 34014362322. Its totient is φ = 34014362320.

The previous prime is 34014362309. The next prime is 34014362323. The reversal of 34014362321 is 12326341043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31088742400 + 2925619921 = 176320^2 + 54089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34014362321 is a prime.

Together with 34014362323, 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 (34014362323) 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, 17007181160 + 17007181161.

It is an arithmetic number, because the mean of its divisors is an integer number (17007181161).

Almost surely, 2^34014362321 is an apocalyptic number.

It is an amenable number.

34014362321 is a deficient number, since it is larger than the sum of its proper divisors (1).

34014362321 is an equidigital number, since it uses as much as digits as its factorization.

34014362321 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 29.

The spelling of 34014362321 in words is "thirty-four billion, fourteen million, three hundred sixty-two thousand, three hundred twenty-one".