3066353982000 has 400 divisors, whose sum is σ = 11103218068800. Its totient is φ = 815677516800.

The previous prime is 3066353981983. The next prime is 3066353982023. The reversal of 3066353982000 is 2893536603.

3066353982000 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 353 + 98 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 66234861 + ... + 66281139.

It is an arithmetic number, because the mean of its divisors is an integer number (27758045172).

Almost surely, 2^{3066353982000} is an apocalyptic number.

3066353982000 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 3066353982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551609034400).

3066353982000 is an abundant number, since it is smaller than the sum of its proper divisors (8036864086800).

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

3066353982000 is a wasteful number, since it uses less digits than its factorization.

3066353982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46723 (or 46698 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3066353982000 in words is "three trillion, sixty-six billion, three hundred fifty-three million, nine hundred eighty-two thousand".