3984163200 has 480 divisors, whose sum is σ = 15495381000. Its totient is φ = 1005281280.

The previous prime is 3984163187. The next prime is 3984163207. The reversal of 3984163200 is 23614893.

3984163200 is a `hidden beast` number, since 39 + 8 + 416 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984163207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4924396 + ... + 4925204.

Almost surely, 2^3984163200 is an apocalyptic number.

3984163200 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 3984163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747690500).

3984163200 is an abundant number, since it is smaller than the sum of its proper divisors (11511217800).

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

3984163200 is a wasteful number, since it uses less digits than its factorization.

3984163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3984163200 is about 63120.2281364698. The cubic root of 3984163200 is about 1585.3033350190.

It can be divided in two parts, 39841 and 63200, that added together give a square (103041 = 321²).

The spelling of 3984163200 in words is "three billion, nine hundred eighty-four million, one hundred sixty-three thousand, two hundred".