34134102321 has 16 divisors (see below), whose sum is σ = 50860571328. Its totient is φ = 20182764800.

The previous prime is 34134102257. The next prime is 34134102323. The reversal of 34134102321 is 12320143143.

It is a happy number.

It is not a de Polignac number, because 34134102321 - 2⁶ = 34134102257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34134102291 and 34134102300.

It is not an unprimeable number, because it can be changed into a prime (34134102323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12612876 + ... + 12615581.

It is an arithmetic number, because the mean of its divisors is an integer number (3178785708).

Almost surely, 2^34134102321 is an apocalyptic number.

It is an amenable number.

34134102321 is a deficient number, since it is larger than the sum of its proper divisors (16726469007).

34134102321 is a wasteful number, since it uses less digits than its factorization.

34134102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228512.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34134102321 its reverse (12320143143), we get a palindrome (46454245464).

The spelling of 34134102321 in words is "thirty-four billion, one hundred thirty-four million, one hundred two thousand, three hundred twenty-one".