34314441343 has 32 divisors (see below), whose sum is σ = 42932736000. Its totient is φ = 26702822016.

The previous prime is 34314441323. The next prime is 34314441349.

34314441343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34314441343 - 2⁵ = 34314441311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34314441299 and 34314441308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314441349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881633 + ... + 1899781.

It is an arithmetic number, because the mean of its divisors is an integer number (1341648000).

Almost surely, 2^34314441343 is an apocalyptic number.

34314441343 is a deficient number, since it is larger than the sum of its proper divisors (8618294657).

34314441343 is a wasteful number, since it uses less digits than its factorization.

34314441343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18511.

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

The spelling of 34314441343 in words is "thirty-four billion, three hundred fourteen million, four hundred forty-one thousand, three hundred forty-three".