34332333323343 has 16 divisors (see below), whose sum is σ = 50188883808000. Its totient is φ = 20702914562880.

The previous prime is 34332333323287. The next prime is 34332333323413.

It is a happy number.

34332333323343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34332333323343 - 2⁶ = 34332333323279 is a prime.

It is a super-2 number, since 2×34332333323343² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34332333323295 and 34332333323304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34332333323243) 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, 2613997798 + ... + 2614010931.

It is an arithmetic number, because the mean of its divisors is an integer number (3136805238000).

Almost surely, 2^{34332333323343} is an apocalyptic number.

34332333323343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34332333323343 is a deficient number, since it is larger than the sum of its proper divisors (15856550484657).

34332333323343 is a wasteful number, since it uses less digits than its factorization.

34332333323343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228008942.

The product of its digits is 3779136, while the sum is 42.

It can be divided in two parts, 3433233 and 3323343, that added together give a palindrome (6756576).

The spelling of 34332333323343 in words is "thirty-four trillion, three hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, three hundred forty-three".