3386807727973 has 2 divisors, whose sum is σ = 3386807727974. Its totient is φ = 3386807727972.

The previous prime is 3386807727937. The next prime is 3386807728013. The reversal of 3386807727973 is 3797277086833.

Together with previous prime (3386807727937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2875442578369 + 511365149604 = 1695713^2 + 715098^2 .

It is a cyclic number.

It is not a de Polignac number, because 3386807727973 - 2¹⁷ = 3386807596901 is a prime.

It is a super-3 number, since 3×3386807727973³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3386807727773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1693403863986 + 1693403863987.

It is an arithmetic number, because the mean of its divisors is an integer number (1693403863987).

Almost surely, 2^{3386807727973} is an apocalyptic number.

It is an amenable number.

3386807727973 is a deficient number, since it is larger than the sum of its proper divisors (1).

3386807727973 is an equidigital number, since it uses as much as digits as its factorization.

3386807727973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448084224, while the sum is 70.

The spelling of 3386807727973 in words is "three trillion, three hundred eighty-six billion, eight hundred seven million, seven hundred twenty-seven thousand, nine hundred seventy-three".