3984082200 has 576 divisors, whose sum is σ = 16248960000. Its totient is φ = 906837120.

The previous prime is 3984082199. The next prime is 3984082303. The reversal of 3984082200 is 22804893.

3984082200 is a `hidden beast` number, since 398 + 40 + 8 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16669681 + ... + 16669919.

It is an arithmetic number, because the mean of its divisors is an integer number (28210000).

Almost surely, 2^3984082200 is an apocalyptic number.

3984082200 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 3984082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480000).

3984082200 is an abundant number, since it is smaller than the sum of its proper divisors (12264877800).

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

3984082200 is a wasteful number, since it uses less digits than its factorization.

3984082200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3984082200 is about 63119.5865005467. The cubic root of 3984082200 is about 1585.2925916137.

The spelling of 3984082200 in words is "three billion, nine hundred eighty-four million, eighty-two thousand, two hundred".