3666223000 has 256 divisors, whose sum is σ = 10022538240. Its totient is φ = 1241856000.

The previous prime is 3666222991. The next prime is 3666223003. The reversal of 3666223000 is 3226663.

3666223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3666223000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666223003) 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, 10878832 + ... + 10879168.

It is an arithmetic number, because the mean of its divisors is an integer number (39150540).

Almost surely, 2^3666223000 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 3666223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011269120).

3666223000 is an abundant number, since it is smaller than the sum of its proper divisors (6356315240).

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

3666223000 is a wasteful number, since it uses less digits than its factorization.

3666223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3666223000 is about 60549.3435141951. The cubic root of 3666223000 is about 1541.9594723449.

Adding to 3666223000 its reverse (3226663), we get a palindrome (3669449663).

The spelling of 3666223000 in words is "three billion, six hundred sixty-six million, two hundred twenty-three thousand".