3006063680 has 28 divisors (see below), whose sum is σ = 7158189900. Its totient is φ = 1202425344.

The previous prime is 3006063677. The next prime is 3006063689. The reversal of 3006063680 is 863606003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1719263296 + 1286800384 = 41464^2 + 35872^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3006063689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4696655 + ... + 4697294.

Almost surely, 2^3006063680 is an apocalyptic number.

It is an amenable number.

3006063680 is an abundant number, since it is smaller than the sum of its proper divisors (4152126220).

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

3006063680 is an equidigital number, since it uses as much as digits as its factorization.

3006063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393966 (or 9393956 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 3006063680 is about 54827.5813801776. The cubic root of 3006063680 is about 1443.2206207938.

Adding to 3006063680 its reverse (863606003), we get a palindrome (3869669683).

The spelling of 3006063680 in words is "three billion, six million, sixty-three thousand, six hundred eighty".