3666672200 has 96 divisors (see below), whose sum is σ = 9085300200. Its totient is φ = 1371402240.

The previous prime is 3666672161. The next prime is 3666672203. The reversal of 3666672200 is 22766663.

3666672200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6180196 + 3660492004 = 2486^2 + 60502^2 .

It is not an unprimeable number, because it can be changed into a prime (3666672203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530366 + ... + 537234.

Almost surely, 2^3666672200 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 3666672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542650100).

3666672200 is an abundant number, since it is smaller than the sum of its proper divisors (5418628000).

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

3666672200 is a wasteful number, since it uses less digits than its factorization.

3666672200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 3666672200 is about 60553.0527719288. The cubic root of 3666672200 is about 1542.0224454108.

The spelling of 3666672200 in words is "three billion, six hundred sixty-six million, six hundred seventy-two thousand, two hundred".