3563668300 has 72 divisors (see below), whose sum is σ = 8089294752. Its totient is φ = 1360128000.

The previous prime is 3563668267. The next prime is 3563668327. The reversal of 3563668300 is 38663653.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058620 + ... + 1061980.

It is an arithmetic number, because the mean of its divisors is an integer number (112351316).

Almost surely, 2^3563668300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3563668300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044647376).

3563668300 is an abundant number, since it is smaller than the sum of its proper divisors (4525626452).

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

3563668300 is a wasteful number, since it uses less digits than its factorization.

3563668300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The square root of 3563668300 is about 59696.4680697275. The cubic root of 3563668300 is about 1527.4456217142.

The spelling of 3563668300 in words is "three billion, five hundred sixty-three million, six hundred sixty-eight thousand, three hundred".