34312411421343 has 192 divisors, whose sum is σ = 60495480115200. Its totient is φ = 18494076142080.

The previous prime is 34312411421329. The next prime is 34312411421347.

34312411421343 is a `hidden beast` number, since 3 + 4 + 31 + 241 + 1 + 42 + 1 + 343 = 666.

34312411421343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34312411421343 - 2⁶ = 34312411421279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34312411421298 and 34312411421307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312411421347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1574892096 + ... + 1574913882.

It is an arithmetic number, because the mean of its divisors is an integer number (315080625600).

Almost surely, 2^{34312411421343} is an apocalyptic number.

34312411421343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34312411421343 is a deficient number, since it is larger than the sum of its proper divisors (26183068693857).

34312411421343 is a wasteful number, since it uses less digits than its factorization.

34312411421343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522 (or 22519 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3431241 and 1421343, that added together give a palindrome (4852584).

The spelling of 34312411421343 in words is "thirty-four trillion, three hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, three hundred forty-three".