3366808590601 has 32 divisors (see below), whose sum is σ = 3712684584960. Its totient is φ = 3040064649216.

The previous prime is 3366808590581. The next prime is 3366808590667. The reversal of 3366808590601 is 1060958086633.

3366808590601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3366808590601 - 2¹⁷ = 3366808459529 is a prime.

It is a super-3 number, since 3×3366808590601³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3366808590401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12891645 + ... + 13150213.

It is an arithmetic number, because the mean of its divisors is an integer number (116021393280).

Almost surely, 2^{3366808590601} is an apocalyptic number.

It is an amenable number.

3366808590601 is a deficient number, since it is larger than the sum of its proper divisors (345875994359).

3366808590601 is a wasteful number, since it uses less digits than its factorization.

3366808590601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258913.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 3366808590601 in words is "three trillion, three hundred sixty-six billion, eight hundred eight million, five hundred ninety thousand, six hundred one".