3417956974017 has 12 divisors (see below), whose sum is σ = 4937065610724. Its totient is φ = 2278630298880.

The previous prime is 3417956974007. The next prime is 3417956974037. The reversal of 3417956974017 is 7104796597143.

3417956974017 is a `hidden beast` number, since 3 + 4 + 17 + 9 + 569 + 7 + 40 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1808570418561 + 1609386555456 = 1344831^2 + 1268616^2 .

It is not a de Polignac number, because 3417956974017 - 2¹⁴ = 3417956957633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3417956974007) 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 11 ways as a sum of consecutive naturals, for example, 3790873 + ... + 4605065.

It is an arithmetic number, because the mean of its divisors is an integer number (411422134227).

Almost surely, 2^{3417956974017} is an apocalyptic number.

It is an amenable number.

3417956974017 is a deficient number, since it is larger than the sum of its proper divisors (1519108636707).

3417956974017 is a wasteful number, since it uses less digits than its factorization.

3417956974017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280640 (or 1280637 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 3417956974017 in words is "three trillion, four hundred seventeen billion, nine hundred fifty-six million, nine hundred seventy-four thousand, seventeen".