3006769872017 has 8 divisors (see below), whose sum is σ = 3261288412872. Its totient is φ = 2760879078400.

The previous prime is 3006769872013. The next prime is 3006769872053. The reversal of 3006769872017 is 7102789676003.

It is a Cunningham number, because it is equal to 1734004²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 3006769872016 = 1^2 + 1734004^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3006769872017 - 2² = 3006769872013 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3006769872013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2156936084 + ... + 2156937477.

It is an arithmetic number, because the mean of its divisors is an integer number (407661051609).

Almost surely, 2^{3006769872017} is an apocalyptic number.

It is an amenable number.

3006769872017 is a deficient number, since it is larger than the sum of its proper divisors (254518540855).

3006769872017 is a wasteful number, since it uses less digits than its factorization.

3006769872017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313873619.

The product of its (nonzero) digits is 5334336, while the sum is 56.

The spelling of 3006769872017 in words is "three trillion, six billion, seven hundred sixty-nine million, eight hundred seventy-two thousand, seventeen".