34321733712343 has 32 divisors (see below), whose sum is σ = 44652096433152. Its totient is φ = 25580902617600.

The previous prime is 34321733712289. The next prime is 34321733712407.

34321733712343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34321733712343 - 2⁴¹ = 32122710456791 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34321733712293 and 34321733712302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321733712043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103638303 + ... + 103968943.

It is an arithmetic number, because the mean of its divisors is an integer number (1395378013536).

Almost surely, 2^{34321733712343} is an apocalyptic number.

34321733712343 is a deficient number, since it is larger than the sum of its proper divisors (10330362720809).

34321733712343 is a wasteful number, since it uses less digits than its factorization.

34321733712343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389295.

The product of its digits is 2286144, while the sum is 46.

The spelling of 34321733712343 in words is "thirty-four trillion, three hundred twenty-one billion, seven hundred thirty-three million, seven hundred twelve thousand, three hundred forty-three".