3968549683200 has 1536 divisors, whose sum is σ = 15797604960000. Its totient is φ = 973728645120.

The previous prime is 3968549683139. The next prime is 3968549683211. The reversal of 3968549683200 is 23869458693.

3968549683200 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 549 + 6 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14752972666 + ... + 14752972934.

Almost surely, 2^{3968549683200} is an apocalyptic number.

3968549683200 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 3968549683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898802480000).

3968549683200 is an abundant number, since it is smaller than the sum of its proper divisors (11829055276800).

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

3968549683200 is a wasteful number, since it uses less digits than its factorization.

3968549683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 3968549683200 in words is "three trillion, nine hundred sixty-eight billion, five hundred forty-nine million, six hundred eighty-three thousand, two hundred".