3020806656000 has 3328 divisors, whose sum is σ = 14131401523200. Its totient is φ = 621084672000.

The previous prime is 3020806655957. The next prime is 3020806656041. The reversal of 3020806656000 is 6566080203.

3020806656000 is a `hidden beast` number, since 30 + 2 + 0 + 8 + 0 + 66 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56996351974 + ... + 56996352026.

It is an arithmetic number, because the mean of its divisors is an integer number (4246214400).

Almost surely, 2^{3020806656000} is an apocalyptic number.

3020806656000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020806656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065700761600).

3020806656000 is an abundant number, since it is smaller than the sum of its proper divisors (11110594867200).

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

3020806656000 is a wasteful number, since it uses less digits than its factorization.

3020806656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3020806656000 in words is "three trillion, twenty billion, eight hundred six million, six hundred fifty-six thousand".