34336200263343 has 16 divisors (see below), whose sum is σ = 52881420727296. Its totient is φ = 19585711379840.

The previous prime is 34336200263333. The next prime is 34336200263359.

34336200263343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34336200263343 - 2²² = 34336196069039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34336200263295 and 34336200263304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34336200263333) 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, 30602673471 + ... + 30602674592.

It is an arithmetic number, because the mean of its divisors is an integer number (3305088795456).

Almost surely, 2^{34336200263343} is an apocalyptic number.

34336200263343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34336200263343 is a deficient number, since it is larger than the sum of its proper divisors (18545220463953).

34336200263343 is a wasteful number, since it uses less digits than its factorization.

34336200263343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61205348094.

The product of its (nonzero) digits is 1679616, while the sum is 42.

It can be divided in two parts, 34336200 and 263343, that added together give a palindrome (34599543).

The spelling of 34336200263343 in words is "thirty-four trillion, three hundred thirty-six billion, two hundred million, two hundred sixty-three thousand, three hundred forty-three".