3085305780801 has 8 divisors (see below), whose sum is σ = 4330253727520. Its totient is φ = 1948614177312.

The previous prime is 3085305780779. The next prime is 3085305780803. The reversal of 3085305780801 is 1080875035803.

It is a happy number.

3085305780801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 3085305780801 - 2⁹ = 3085305780289 is a prime.

It is a super-3 number, since 3×3085305780801³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3085305780803) 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, 27064085740 + ... + 27064085853.

It is an arithmetic number, because the mean of its divisors is an integer number (541281715940).

Almost surely, 2^{3085305780801} is an apocalyptic number.

It is an amenable number.

3085305780801 is a deficient number, since it is larger than the sum of its proper divisors (1244947946719).

3085305780801 is a wasteful number, since it uses less digits than its factorization.

3085305780801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54128171615.

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 3085305780801 in words is "three trillion, eighty-five billion, three hundred five million, seven hundred eighty thousand, eight hundred one".