3066986304 has 168 divisors, whose sum is σ = 9157304520. Its totient is φ = 980582400.

The previous prime is 3066986291. The next prime is 3066986323. The reversal of 3066986304 is 4036896603.

3066986304 is a `hidden beast` number, since 3 + 0 + 6 + 6 + 9 + 8 + 630 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304432704 + 2762553600 = 17448^2 + 52560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3066986304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439512 + ... + 1441640.

It is an arithmetic number, because the mean of its divisors is an integer number (54507765).

Almost surely, 2^3066986304 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 3066986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578652260).

3066986304 is an abundant number, since it is smaller than the sum of its proper divisors (6090318216).

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

3066986304 is a wasteful number, since it uses less digits than its factorization.

3066986304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3066986304 is about 55380.3783302353. The cubic root of 3066986304 is about 1452.9052024738.

The spelling of 3066986304 in words is "three billion, sixty-six million, nine hundred eighty-six thousand, three hundred four".