3940200 has 144 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 950400.

The previous prime is 3940177. The next prime is 3940207. The reversal of 3940200 is 20493.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3940207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19701 + ... + 19899.

It is an arithmetic number, because the mean of its divisors is an integer number (100750).

Almost surely, 2^3940200 is an apocalyptic number.

3940200 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 3940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

3940200 is an abundant number, since it is smaller than the sum of its proper divisors (10567800).

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

3940200 is a wasteful number, since it uses less digits than its factorization.

3940200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3940200 is about 1984.9937027608. The cubic root of 3940200 is about 157.9450751780.

Adding to 3940200 its reverse (20493), we get a palindrome (3960693).

The spelling of 3940200 in words is "three million, nine hundred forty thousand, two hundred".