34343222234343 has 64 divisors (see below), whose sum is σ = 50811287814144. Its totient is φ = 20460315456000.

The previous prime is 34343222234333. The next prime is 34343222234357.

34343222234343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34343222234343 - 2³⁴ = 34326042365159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34343222234295 and 34343222234304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343222234333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254691046 + ... + 254825852.

It is an arithmetic number, because the mean of its divisors is an integer number (793926372096).

Almost surely, 2^{34343222234343} is an apocalyptic number.

34343222234343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34343222234343 is a deficient number, since it is larger than the sum of its proper divisors (16468065579801).

34343222234343 is a wasteful number, since it uses less digits than its factorization.

34343222234343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135476.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 3434322 and 2234343, that added together give a palindrome (5668665).

The spelling of 34343222234343 in words is "thirty-four trillion, three hundred forty-three billion, two hundred twenty-two million, two hundred thirty-four thousand, three hundred forty-three".