3966713856000 has 2160 divisors, whose sum is σ = 17486978621112. Its totient is φ = 891813888000.

The previous prime is 3966713855947. The next prime is 3966713856011. The reversal of 3966713856000 is 6583176693.

3966713856000 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 71 + 3 + 8 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 283262386176 + 3683451469824 = 532224^2 + 1919232^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65028095970 + ... + 65028096030.

Almost surely, 2^{3966713856000} is an apocalyptic number.

3966713856000 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 3966713856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743489310556).

3966713856000 is an abundant number, since it is smaller than the sum of its proper divisors (13520264765112).

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

3966713856000 is an frugal number, since it uses more digits than its factorization.

3966713856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3966713856000 in words is "three trillion, nine hundred sixty-six billion, seven hundred thirteen million, eight hundred fifty-six thousand".