3982200 has 48 divisors (see below), whose sum is σ = 12346680. Its totient is φ = 1061760.

The previous prime is 3982183. The next prime is 3982201. The reversal of 3982200 is 22893.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2719 + ... + 3918.

Almost surely, 2^3982200 is an apocalyptic number.

3982200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3982200 is an abundant number, since it is smaller than the sum of its proper divisors (8364480).

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

3982200 is a wasteful number, since it uses less digits than its factorization.

3982200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3982200 is about 1995.5450383291. The cubic root of 3982200 is about 158.5042905691.

The spelling of 3982200 in words is "three million, nine hundred eighty-two thousand, two hundred".