34443300334443 has 64 divisors (see below), whose sum is σ = 63327239980032. Its totient is φ = 16069882222080.

The previous prime is 34443300334433. The next prime is 34443300334481.

34443300334443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34443300334443 - 2⁶ = 34443300334379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34443300334395 and 34443300334404.

It is not an unprimeable number, because it can be changed into a prime (34443300334433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154883896 + ... + 155106117.

It is an arithmetic number, because the mean of its divisors is an integer number (989488124688).

Almost surely, 2^{34443300334443} is an apocalyptic number.

34443300334443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34443300334443 is a deficient number, since it is larger than the sum of its proper divisors (28883939645589).

34443300334443 is a wasteful number, since it uses less digits than its factorization.

34443300334443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309990084.

The product of its (nonzero) digits is 2985984, while the sum is 42.

It can be divided in two parts, 34443300 and 334443, that added together give a palindrome (34777743).

The spelling of 34443300334443 in words is "thirty-four trillion, four hundred forty-three billion, three hundred million, three hundred thirty-four thousand, four hundred forty-three".