3945200 has 60 divisors (see below), whose sum is σ = 10840080. Its totient is φ = 1351680.

The previous prime is 3945163. The next prime is 3945203. The reversal of 3945200 is 25493.

3945200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2096 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (180668).

Almost surely, 2^3945200 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 3945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420040).

3945200 is an abundant number, since it is smaller than the sum of its proper divisors (6894880).

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

3945200 is a wasteful number, since it uses less digits than its factorization.

3945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3945200 is about 1986.2527533021. The cubic root of 3945200 is about 158.0118561845.

The spelling of 3945200 in words is "three million, nine hundred forty-five thousand, two hundred".