34356100165343 has 16 divisors (see below), whose sum is σ = 37809028647936. Its totient is φ = 30959315010240.

The previous prime is 34356100165313. The next prime is 34356100165351.

It is a happy number.

34356100165343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34356100165343 - 2⁸ = 34356100165087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34356100165294 and 34356100165303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356100165313) 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, 29483705 + ... + 30626802.

It is an arithmetic number, because the mean of its divisors is an integer number (2363064290496).

Almost surely, 2^{34356100165343} is an apocalyptic number.

34356100165343 is a deficient number, since it is larger than the sum of its proper divisors (3452928482593).

34356100165343 is a wasteful number, since it uses less digits than its factorization.

34356100165343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60110974.

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 34356100165343 in words is "thirty-four trillion, three hundred fifty-six billion, one hundred million, one hundred sixty-five thousand, three hundred forty-three".