34185917355 has 32 divisors (see below), whose sum is σ = 57929256000. Its totient is φ = 17155756032.

The previous prime is 34185917351. The next prime is 34185917401. The reversal of 34185917355 is 55371958143.

It is not a de Polignac number, because 34185917355 - 2² = 34185917351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 34185917298 and 34185917307.

It is not an unprimeable number, because it can be changed into a prime (34185917351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1191721 + ... + 1220069.

It is an arithmetic number, because the mean of its divisors is an integer number (1810289250).

Almost surely, 2^34185917355 is an apocalyptic number.

34185917355 is a deficient number, since it is larger than the sum of its proper divisors (23743338645).

34185917355 is a wasteful number, since it uses less digits than its factorization.

34185917355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33103.

The product of its digits is 2268000, while the sum is 51.

The spelling of 34185917355 in words is "thirty-four billion, one hundred eighty-five million, nine hundred seventeen thousand, three hundred fifty-five".