3663223200 has 432 divisors, whose sum is σ = 15901232256. Its totient is φ = 772761600.

The previous prime is 3663223171. The next prime is 3663223219. The reversal of 3663223200 is 23223663.

3663223200 is a `hidden beast` number, since 3 + 6 + 632 + 2 + 3 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652405 + ... + 657995.

It is an arithmetic number, because the mean of its divisors is an integer number (36808408).

Almost surely, 2^3663223200 is an apocalyptic number.

3663223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950616128).

3663223200 is an abundant number, since it is smaller than the sum of its proper divisors (12238009056).

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

3663223200 is a wasteful number, since it uses less digits than its factorization.

3663223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3663223200 is about 60524.5669129487. The cubic root of 3663223200 is about 1541.5388003357.

Adding to 3663223200 its reverse (23223663), we get a palindrome (3686446863).

The spelling of 3663223200 in words is "three billion, six hundred sixty-three million, two hundred twenty-three thousand, two hundred".