3633666666 has 128 divisors (see below), whose sum is σ = 9410826240. Its totient is φ = 910310400.

The previous prime is 3633666653. The next prime is 3633666671. The reversal of 3633666666 is 6666663363.

3633666666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

3633666666 is a modest number, since divided by 66666 gives 36336 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825331 + ... + 829721.

It is an arithmetic number, because the mean of its divisors is an integer number (73522080).

Almost surely, 2^3633666666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3633666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705413120).

3633666666 is an abundant number, since it is smaller than the sum of its proper divisors (5777159574).

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

3633666666 is a wasteful number, since it uses less digits than its factorization.

3633666666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500.

The product of its digits is 7558272, while the sum is 51.

The square root of 3633666666 is about 60279.9026707907. The cubic root of 3633666666 is about 1537.3816566193.

The spelling of 3633666666 in words is "three billion, six hundred thirty-three million, six hundred sixty-six thousand, six hundred sixty-six".