34224311342243 has 24 divisors (see below), whose sum is σ = 38771317865280. Its totient is φ = 30171663561600.

The previous prime is 34224311342219. The next prime is 34224311342387.

34224311342243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34224311342243 - 2¹⁰ = 34224311341219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34224311342197 and 34224311342206.

It is not an unprimeable number, because it can be changed into a prime (34224311342843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26985578 + ... + 28225343.

It is an arithmetic number, because the mean of its divisors is an integer number (1615471577720).

Almost surely, 2^{34224311342243} is an apocalyptic number.

34224311342243 is a deficient number, since it is larger than the sum of its proper divisors (4547006523037).

34224311342243 is a wasteful number, since it uses less digits than its factorization.

34224311342243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55211099 (or 55211088 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 3422431 and 1342243, that added together give a palindrome (4764674).

The spelling of 34224311342243 in words is "thirty-four trillion, two hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, two hundred forty-three".