3886200 has 144 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 967680.

The previous prime is 3886199. The next prime is 3886229. The reversal of 3886200 is 26883.

3886200 is a `hidden beast` number, since 38 + 8 + 620 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30537 + ... + 30663.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^3886200 is an apocalyptic number.

3886200 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 3886200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

3886200 is an abundant number, since it is smaller than the sum of its proper divisors (10041480).

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

3886200 is a wasteful number, since it uses less digits than its factorization.

3886200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3886200 is about 1971.3447187136. The cubic root of 3886200 is about 157.2202137828.

The spelling of 3886200 in words is "three million, eight hundred eighty-six thousand, two hundred".