34444304404311 has 16 divisors (see below), whose sum is σ = 47074795181568. Its totient is φ = 22389030091200.

The previous prime is 34444304404271. The next prime is 34444304404337. The reversal of 34444304404311 is 11340440344443.

It is not a de Polignac number, because 34444304404311 - 2⁹ = 34444304403799 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34444304404311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444304404351) 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, 85858575 + ... + 86258816.

It is an arithmetic number, because the mean of its divisors is an integer number (2942174698848).

Almost surely, 2^{34444304404311} is an apocalyptic number.

34444304404311 is a deficient number, since it is larger than the sum of its proper divisors (12630490777257).

34444304404311 is a wasteful number, since it uses less digits than its factorization.

34444304404311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172119062.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 34444304404311 its reverse (11340440344443), we get a palindrome (45784744748754).

The spelling of 34444304404311 in words is "thirty-four trillion, four hundred forty-four billion, three hundred four million, four hundred four thousand, three hundred eleven".