3963200 has 42 divisors (see below), whose sum is σ = 9755886. Its totient is φ = 1584640.

The previous prime is 3963161. The next prime is 3963209. The reversal of 3963200 is 23693.

It is a happy number.

3963200 is nontrivially palindromic in base 15.

3963200 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 3717184 = 496^2 + 1928^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3963209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 362 + ... + 2838.

It is an arithmetic number, because the mean of its divisors is an integer number (232283).

Almost surely, 2^3963200 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 3963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877943).

3963200 is an abundant number, since it is smaller than the sum of its proper divisors (5792686).

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

3963200 is a wasteful number, since it uses less digits than its factorization.

3963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 3963200 is about 1990.7787421007. The cubic root of 3963200 is about 158.2518016677.

Adding to 3963200 its reverse (23693), we get a palindrome (3986893).

The spelling of 3963200 in words is "three million, nine hundred sixty-three thousand, two hundred".