34221322312243 has 8 divisors (see below), whose sum is σ = 37332404250480. Its totient is φ = 31110249146880.

The previous prime is 34221322312237. The next prime is 34221322312277.

It is a happy number.

34221322312243 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 34221322312243 - 2²¹ = 34221320215091 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34221322312199 and 34221322312208.

It is not an unprimeable number, because it can be changed into a prime (34221322319243) 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, 8038303 + ... + 11535031.

It is an arithmetic number, because the mean of its divisors is an integer number (4666550531310).

Almost surely, 2^{34221322312243} is an apocalyptic number.

34221322312243 is a deficient number, since it is larger than the sum of its proper divisors (3111081938237).

34221322312243 is a wasteful number, since it uses less digits than its factorization.

34221322312243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386437.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 3422132 and 2312243, that added together give a palindrome (5734375).

The spelling of 34221322312243 in words is "thirty-four trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred forty-three".