3407694008017 has 8 divisors (see below), whose sum is σ = 3729985371560. Its totient is φ = 3093997080960.

The previous prime is 3407694007967. The next prime is 3407694008021. The reversal of 3407694008017 is 7108004967043.

It can be written as a sum of positive squares in 4 ways, for example, as 712676416 + 3406981331601 = 26696^2 + 1845801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3407694008017 is a prime.

It is a super-2 number, since 2×3407694008017² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3407694008077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2148608292 + ... + 2148609877.

It is an arithmetic number, because the mean of its divisors is an integer number (466248171445).

Almost surely, 2^{3407694008017} is an apocalyptic number.

It is an amenable number.

3407694008017 is a deficient number, since it is larger than the sum of its proper divisors (322291363543).

3407694008017 is a wasteful number, since it uses less digits than its factorization.

3407694008017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297218243.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 3407694008017 in words is "three trillion, four hundred seven billion, six hundred ninety-four million, eight thousand, seventeen".