3968618976000 has 1080 divisors, whose sum is σ = 17180189522496. Its totient is φ = 907083878400.

The previous prime is 3968618975983. The next prime is 3968618976053. The reversal of 3968618976000 is 6798168693.

3968618976000 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 6 + 18 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126992377 + ... + 127023623.

Almost surely, 2^{3968618976000} is an apocalyptic number.

3968618976000 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 3968618976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590094761248).

3968618976000 is an abundant number, since it is smaller than the sum of its proper divisors (13211570546496).

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

3968618976000 is an equidigital number, since it uses as much as digits as its factorization.

3968618976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31304 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 3968618976000 in words is "three trillion, nine hundred sixty-eight billion, six hundred eighteen million, nine hundred seventy-six thousand".