34224322342243 has 16 divisors (see below), whose sum is σ = 38387379566592. Its totient is φ = 30242158056000.

The previous prime is 34224322342219. The next prime is 34224322342289.

34224322342243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34224322342243 - 2⁵ = 34224322342211 is a prime.

It is a super-3 number, since 3×34224322342243³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34224322342196 and 34224322342205.

It is not an unprimeable number, because it can be changed into a prime (34224322342213) 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, 139887771 + ... + 140132212.

It is an arithmetic number, because the mean of its divisors is an integer number (2399211222912).

Almost surely, 2^{34224322342243} is an apocalyptic number.

34224322342243 is a deficient number, since it is larger than the sum of its proper divisors (4163057224349).

34224322342243 is a wasteful number, since it uses less digits than its factorization.

34224322342243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280020306.

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 3422432 and 2342243, that added together give a palindrome (5764675).

The spelling of 34224322342243 in words is "thirty-four trillion, two hundred twenty-four billion, three hundred twenty-two million, three hundred forty-two thousand, two hundred forty-three".