3943200 has 144 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 998400.

The previous prime is 3943193. The next prime is 3943207. The reversal of 3943200 is 23493.

It is an interprime number because it is at equal distance from previous prime (3943193) and next prime (3943207).

It is not an unprimeable number, because it can be changed into a prime (3943207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74374 + ... + 74426.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 2^3943200 is an apocalyptic number.

3943200 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 3943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

3943200 is an abundant number, since it is smaller than the sum of its proper divisors (9555936).

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

3943200 is a wasteful number, since it uses less digits than its factorization.

3943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3943200 is about 1985.7492288806. The cubic root of 3943200 is about 157.9851505566.

Adding to 3943200 its reverse (23493), we get a palindrome (3966693).

The spelling of 3943200 in words is "three million, nine hundred forty-three thousand, two hundred".