3020082265728 has 1152 divisors, whose sum is σ = 10484045732160. Its totient is φ = 830439751680.

The previous prime is 3020082265723. The next prime is 3020082265741. The reversal of 3020082265728 is 8275622800203.

It is a happy number.

3020082265728 is a `hidden beast` number, since 30 + 20 + 0 + 8 + 2 + 26 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (3020082265723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10902823926 + ... + 10902824202.

Almost surely, 2^{3020082265728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020082265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242022866080).

3020082265728 is an abundant number, since it is smaller than the sum of its proper divisors (7463963466432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3020082265728 is a wasteful number, since it uses less digits than its factorization.

3020082265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3020082265728 in words is "three trillion, twenty billion, eighty-two million, two hundred sixty-five thousand, seven hundred twenty-eight".