34321444412343 has 32 divisors (see below), whose sum is σ = 51289814856960. Its totient is φ = 20231399612160.

The previous prime is 34321444412323. The next prime is 34321444412347.

34321444412343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34321444412343 - 2⁶ = 34321444412279 is a prime.

It is a super-3 number, since 3×34321444412343³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34321444412295 and 34321444412304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321444412347) 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, 1670373 + ... + 8451806.

It is an arithmetic number, because the mean of its divisors is an integer number (1602806714280).

Almost surely, 2^{34321444412343} is an apocalyptic number.

34321444412343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34321444412343 is a deficient number, since it is larger than the sum of its proper divisors (16968370444617).

34321444412343 is a wasteful number, since it uses less digits than its factorization.

34321444412343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125007.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 3432144 and 4412343, that added together give a palindrome (7844487).

The spelling of 34321444412343 in words is "thirty-four trillion, three hundred twenty-one billion, four hundred forty-four million, four hundred twelve thousand, three hundred forty-three".