34134300422321 has 16 divisors (see below), whose sum is σ = 38526359529600. Its totient is φ = 29957336572800.

The previous prime is 34134300422309. The next prime is 34134300422323. The reversal of 34134300422321 is 12322400343143.

It is a cyclic number.

It is not a de Polignac number, because 34134300422321 - 2¹⁴ = 34134300405937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34134300422323) 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 in 15 ways as a sum of consecutive naturals, for example, 4277060 + ... + 9303861.

It is an arithmetic number, because the mean of its divisors is an integer number (2407897470600).

Almost surely, 2^{34134300422321} is an apocalyptic number.

It is an amenable number.

34134300422321 is a deficient number, since it is larger than the sum of its proper divisors (4392059107279).

34134300422321 is a wasteful number, since it uses less digits than its factorization.

34134300422321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588840.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34134300422321 its reverse (12322400343143), we get a palindrome (46456700765464).

The spelling of 34134300422321 in words is "thirty-four trillion, one hundred thirty-four billion, three hundred million, four hundred twenty-two thousand, three hundred twenty-one".