3066079104 has 192 divisors, whose sum is σ = 9703774080. Its totient is φ = 921523200.

The previous prime is 3066079073. The next prime is 3066079117. The reversal of 3066079104 is 4019706603.

3066079104 is a `hidden beast` number, since 30 + 6 + 607 + 9 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659109 + ... + 1660955.

It is an arithmetic number, because the mean of its divisors is an integer number (50540490).

Almost surely, 2^3066079104 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 3066079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851887040).

3066079104 is an abundant number, since it is smaller than the sum of its proper divisors (6637694976).

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

3066079104 is a wasteful number, since it uses less digits than its factorization.

3066079104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3066079104 is about 55372.1870978563. The cubic root of 3066079104 is about 1452.7619341912.

The spelling of 3066079104 in words is "three billion, sixty-six million, seventy-nine thousand, one hundred four".