3988200 has 144 divisors (see below), whose sum is σ = 13704480. Its totient is φ = 957440.

The previous prime is 3988151. The next prime is 3988213. The reversal of 3988200 is 28893.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173389 + ... + 173411.

It is an arithmetic number, because the mean of its divisors is an integer number (95170).

Almost surely, 2^3988200 is an apocalyptic number.

3988200 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 3988200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852240).

3988200 is an abundant number, since it is smaller than the sum of its proper divisors (9716280).

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

3988200 is a wasteful number, since it uses less digits than its factorization.

3988200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3988200 is about 1997.0478211600. The cubic root of 3988200 is about 158.5838570151.

The spelling of 3988200 in words is "three million, nine hundred eighty-eight thousand, two hundred".