3971200 has 96 divisors (see below), whose sum is σ = 10529460. Its totient is φ = 1474560.

The previous prime is 3971167. The next prime is 3971207. The reversal of 3971200 is 21793.

It can be written as a sum of positive squares in 6 ways, for example, as 2143296 + 1827904 = 1464^2 + 1352^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3971207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54364 + ... + 54436.

Almost surely, 2^3971200 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 3971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264730).

3971200 is an abundant number, since it is smaller than the sum of its proper divisors (6558260).

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

3971200 is a wasteful number, since it uses less digits than its factorization.

3971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 3971200 is about 1992.7869931330. The cubic root of 3971200 is about 158.3582109263.

Adding to 3971200 its reverse (21793), we get a palindrome (3992993).

The spelling of 3971200 in words is "three million, nine hundred seventy-one thousand, two hundred".