34434422443443 has 32 divisors (see below), whose sum is σ = 54466009459200. Its totient is φ = 19110880488960.

The previous prime is 34434422443423. The next prime is 34434422443451.

34434422443443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34434422443443 - 2¹³ = 34434422435251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34434422443392 and 34434422443401.

It is not an unprimeable number, because it can be changed into a prime (34434422443423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829444543 + ... + 829486056.

It is an arithmetic number, because the mean of its divisors is an integer number (1702062795600).

Almost surely, 2^{34434422443443} is an apocalyptic number.

34434422443443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34434422443443 is a deficient number, since it is larger than the sum of its proper divisors (20031587015757).

34434422443443 is a wasteful number, since it uses less digits than its factorization.

34434422443443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658930667.

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 3443442 and 2443443, that added together give a palindrome (5886885).

The spelling of 34434422443443 in words is "thirty-four trillion, four hundred thirty-four billion, four hundred twenty-two million, four hundred forty-three thousand, four hundred forty-three".