3985686720000 has 1200 divisors, whose sum is σ = 15363406536192. Its totient is φ = 990904320000.

The previous prime is 3985686719969. The next prime is 3985686720023. The reversal of 3985686720000 is 276865893.

It is a happy number.

3985686720000 is a `hidden beast` number, since 3 + 9 + 8 + 568 + 6 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6217919680 + ... + 6217920320.

Almost surely, 2^{3985686720000} is an apocalyptic number.

3985686720000 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 3985686720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681703268096).

3985686720000 is an abundant number, since it is smaller than the sum of its proper divisors (11377719816192).

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

3985686720000 is a wasteful number, since it uses less digits than its factorization.

3985686720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3985686720000 in words is "three trillion, nine hundred eighty-five billion, six hundred eighty-six million, seven hundred twenty thousand".