34331422413343 has 16 divisors (see below), whose sum is σ = 39656198301696. Its totient is φ = 29373996435840.

The previous prime is 34331422413287. The next prime is 34331422413359.

34331422413343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34331422413343 - 2²⁵ = 34331388858911 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34331422413296 and 34331422413305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331422410343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10143580 + ... + 13097902.

It is an arithmetic number, because the mean of its divisors is an integer number (2478512393856).

Almost surely, 2^{34331422413343} is an apocalyptic number.

34331422413343 is a deficient number, since it is larger than the sum of its proper divisors (5324775888353).

34331422413343 is a wasteful number, since it uses less digits than its factorization.

34331422413343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016494.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3433142 and 2413343, that added together give a palindrome (5846485).

The spelling of 34331422413343 in words is "thirty-four trillion, three hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, three hundred forty-three".