3006563040 has 576 divisors, whose sum is σ = 11887948800. Its totient is φ = 685780992.

The previous prime is 3006563029. The next prime is 3006563083. The reversal of 3006563040 is 403656003.

3006563040 is a `hidden beast` number, since 3 + 0 + 0 + 656 + 3 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3006562995 and 3006563013.

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 95 ways as a sum of consecutive naturals, for example, 28098667 + ... + 28098773.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^3006563040 is an apocalyptic number.

3006563040 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 3006563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943974400).

3006563040 is an abundant number, since it is smaller than the sum of its proper divisors (8881385760).

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

3006563040 is a wasteful number, since it uses less digits than its factorization.

3006563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3006563040 is about 54832.1351034227. The cubic root of 3006563040 is about 1443.3005311376.

The spelling of 3006563040 in words is "three billion, six million, five hundred sixty-three thousand, forty".