34176649086363 has 128 divisors (see below), whose sum is σ = 54384360030208. Its totient is φ = 18700521840000.

The previous prime is 34176649086347. The next prime is 34176649086379. The reversal of 34176649086363 is 36368094667143.

It is an interprime number because it is at equal distance from previous prime (34176649086347) and next prime (34176649086379).

It is not a de Polignac number, because 34176649086363 - 2⁴ = 34176649086347 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34176649086294 and 34176649086303.

It is not an unprimeable number, because it can be changed into a prime (34176649086383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31268662845 + ... + 31268663937.

It is an arithmetic number, because the mean of its divisors is an integer number (424877812736).

Almost surely, 2^{34176649086363} is an apocalyptic number.

34176649086363 is a deficient number, since it is larger than the sum of its proper divisors (20207710943845).

34176649086363 is a wasteful number, since it uses less digits than its factorization.

34176649086363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 66.

The spelling of 34176649086363 in words is "thirty-four trillion, one hundred seventy-six billion, six hundred forty-nine million, eighty-six thousand, three hundred sixty-three".