3066706656 has 288 divisors, whose sum is σ = 10170800640. Its totient is φ = 901891584.

The previous prime is 3066706627. The next prime is 3066706663. The reversal of 3066706656 is 6566076603.

It is a happy number.

3066706656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×3066706656⁵ (a number of 49 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324365 + ... + 2325683.

It is an arithmetic number, because the mean of its divisors is an integer number (35315280).

Almost surely, 2^3066706656 is an apocalyptic number.

3066706656 is a gapful number since it is divisible by the number (36) 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 3066706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085400320).

3066706656 is an abundant number, since it is smaller than the sum of its proper divisors (7104093984).

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

3066706656 is a wasteful number, since it uses less digits than its factorization.

3066706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3066706656 is about 55377.8534795274. The cubic root of 3066706656 is about 1452.8610424696.

The spelling of 3066706656 in words is "three billion, sixty-six million, seven hundred six thousand, six hundred fifty-six".