3984316728 has 256 divisors, whose sum is σ = 12192768000. Its totient is φ = 1061082624.

The previous prime is 3984316717. The next prime is 3984316733. The reversal of 3984316728 is 8276134893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23858101 + ... + 23858267.

It is an arithmetic number, because the mean of its divisors is an integer number (47628000).

Almost surely, 2^3984316728 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 3984316728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

3984316728 is an abundant number, since it is smaller than the sum of its proper divisors (8208451272).

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

3984316728 is a wasteful number, since it uses less digits than its factorization.

3984316728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 3984316728 is about 63121.4442800543. Note that the first 3 decimals coincide. The cubic root of 3984316728 is about 1585.3236977495.

The spelling of 3984316728 in words is "three billion, nine hundred eighty-four million, three hundred sixteen thousand, seven hundred twenty-eight".