34365344356343 has 32 divisors (see below), whose sum is σ = 46522211699712. Its totient is φ = 24718329519840.

The previous prime is 34365344356297. The next prime is 34365344356397.

34365344356343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34365344356343 - 2⁸ = 34365344356087 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34365344056343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141742571 + ... + 141984812.

It is an arithmetic number, because the mean of its divisors is an integer number (1453819115616).

Almost surely, 2^{34365344356343} is an apocalyptic number.

34365344356343 is a deficient number, since it is larger than the sum of its proper divisors (12156867343369).

34365344356343 is a wasteful number, since it uses less digits than its factorization.

34365344356343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283727436 (or 283727414 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 56.

The spelling of 34365344356343 in words is "thirty-four trillion, three hundred sixty-five billion, three hundred forty-four million, three hundred fifty-six thousand, three hundred forty-three".