34877248217 has 32 divisors (see below), whose sum is σ = 42888806400. Its totient is φ = 27693897408.

The previous prime is 34877248207. The next prime is 34877248291. The reversal of 34877248217 is 71284277843.

It is a cyclic number.

It is not a de Polignac number, because 34877248217 - 2⁸ = 34877247961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34877248207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10431248 + ... + 10434590.

It is an arithmetic number, because the mean of its divisors is an integer number (1340275200).

Almost surely, 2^34877248217 is an apocalyptic number.

It is an amenable number.

34877248217 is a deficient number, since it is larger than the sum of its proper divisors (8011558183).

34877248217 is a wasteful number, since it uses less digits than its factorization.

34877248217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085.

The product of its digits is 4214784, while the sum is 53.

The spelling of 34877248217 in words is "thirty-four billion, eight hundred seventy-seven million, two hundred forty-eight thousand, two hundred seventeen".