3668345683200 has 648 divisors, whose sum is σ = 14361306130080. Its totient is φ = 885948825600.

The previous prime is 3668345683187. The next prime is 3668345683207. The reversal of 3668345683200 is 23865438663.

3668345683200 is a `hidden beast` number, since 36 + 6 + 8 + 345 + 68 + 3 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668345683207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170427639 + ... + 170449161.

It is an arithmetic number, because the mean of its divisors is an integer number (22162509460).

Almost surely, 2^{3668345683200} is an apocalyptic number.

3668345683200 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 3668345683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180653065040).

3668345683200 is an abundant number, since it is smaller than the sum of its proper divisors (10692960446880).

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

3668345683200 is a wasteful number, since it uses less digits than its factorization.

3668345683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21835 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3668345683200 in words is "three trillion, six hundred sixty-eight billion, three hundred forty-five million, six hundred eighty-three thousand, two hundred".