3066853680 has 240 divisors, whose sum is σ = 11272019616. Its totient is φ = 741089280.

The previous prime is 3066853679. The next prime is 3066853681. The reversal of 3066853680 is 863586603.

3066853680 is a `hidden beast` number, since 30 + 6 + 6 + 8 + 536 + 80 = 666.

3066853680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3066853679) and next prime (3066853681).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3066853681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4696234 + ... + 4696886.

Almost surely, 2^3066853680 is an apocalyptic number.

3066853680 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 3066853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636009808).

3066853680 is an abundant number, since it is smaller than the sum of its proper divisors (8205165936).

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

3066853680 is a wasteful number, since it uses less digits than its factorization.

3066853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3066853680 is about 55379.1809256872. The cubic root of 3066853680 is about 1452.8842597787.

It can be divided in two parts, 30668 and 53680, that added together give a palindrome (84348).

The spelling of 3066853680 in words is "three billion, sixty-six million, eight hundred fifty-three thousand, six hundred eighty".