3563643006 has 128 divisors (see below), whose sum is σ = 10192158720. Its totient is φ = 895730400.

The previous prime is 3563643001. The next prime is 3563643007. The reversal of 3563643006 is 6003463653.

It is a happy number.

3563643006 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 643 + 0 + 0 + 6 = 666.

3563643006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563643001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115075 + ... + 142721.

It is an arithmetic number, because the mean of its divisors is an integer number (79626240).

Almost surely, 2^3563643006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563643006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096079360).

3563643006 is an abundant number, since it is smaller than the sum of its proper divisors (6628515714).

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

3563643006 is a wasteful number, since it uses less digits than its factorization.

3563643006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27707 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3563643006 is about 59696.2562142719. The cubic root of 3563643006 is about 1527.4420079005.

The spelling of 3563643006 in words is "three billion, five hundred sixty-three million, six hundred forty-three thousand, six".