34305322350343 has 8 divisors (see below), whose sum is σ = 39393671598720. Its totient is φ = 29545253698680.

The previous prime is 34305322350337. The next prime is 34305322350361.

34305322350343 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34305322350343 - 2²⁹ = 34304785479431 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34305322350296 and 34305322350305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305322351343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82070148955 + ... + 82070149372.

It is an arithmetic number, because the mean of its divisors is an integer number (4924208949840).

Almost surely, 2^{34305322350343} is an apocalyptic number.

34305322350343 is a deficient number, since it is larger than the sum of its proper divisors (5088349248377).

34305322350343 is a wasteful number, since it uses less digits than its factorization.

34305322350343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164140298357.

The product of its (nonzero) digits is 1166400, while the sum is 40.

It can be divided in two parts, 3430532 and 2350343, that added together give a palindrome (5780875).

The spelling of 34305322350343 in words is "thirty-four trillion, three hundred five billion, three hundred twenty-two million, three hundred fifty thousand, three hundred forty-three".