34336311363343 has 16 divisors (see below), whose sum is σ = 39009505716000. Its totient is φ = 29936183562880.

The previous prime is 34336311363337. The next prime is 34336311363349.

34336311363343 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34336311363337) and next prime (34336311363349).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34336311363343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34336311363293 and 34336311363302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34336311363349) 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, 361151596 + ... + 361246657.

It is an arithmetic number, because the mean of its divisors is an integer number (2438094107250).

Almost surely, 2^{34336311363343} is an apocalyptic number.

34336311363343 is a deficient number, since it is larger than the sum of its proper divisors (4673194352657).

34336311363343 is a wasteful number, since it uses less digits than its factorization.

34336311363343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722398442.

The product of its digits is 3779136, while the sum is 46.

It can be divided in two parts, 3433631 and 1363343, that added together give a palindrome (4796974).

The spelling of 34336311363343 in words is "thirty-four trillion, three hundred thirty-six billion, three hundred eleven million, three hundred sixty-three thousand, three hundred forty-three".