3980200 has 48 divisors (see below), whose sum is σ = 10579680. Its totient is φ = 1364160.

The previous prime is 3980191. The next prime is 3980203. The reversal of 3980200 is 20893.

It is not an unprimeable number, because it can be changed into a prime (3980203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22 + ... + 2821.

It is an arithmetic number, because the mean of its divisors is an integer number (220410).

Almost surely, 2^3980200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289840).

3980200 is an abundant number, since it is smaller than the sum of its proper divisors (6599480).

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

3980200 is a wasteful number, since it uses less digits than its factorization.

3980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3980200 is about 1995.0438591670. The cubic root of 3980200 is about 158.4777506609.

The spelling of 3980200 in words is "three million, nine hundred eighty thousand, two hundred".