3984006168 has 192 divisors, whose sum is σ = 12118572000. Its totient is φ = 1208494080.

The previous prime is 3984006163. The next prime is 3984006179. The reversal of 3984006168 is 8616004893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984006163) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3528228 + ... + 3529356.

Almost surely, 2^3984006168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984006168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059286000).

3984006168 is an abundant number, since it is smaller than the sum of its proper divisors (8134565832).

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

3984006168 is a wasteful number, since it uses less digits than its factorization.

3984006168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3984006168 is about 63118.9842123588. The cubic root of 3984006168 is about 1585.2825070047.

The spelling of 3984006168 in words is "three billion, nine hundred eighty-four million, six thousand, one hundred sixty-eight".