3967200 has 216 divisors, whose sum is σ = 15233400. Its totient is φ = 967680.

The previous prime is 3967193. The next prime is 3967207. The reversal of 3967200 is 27693.

It is an interprime number because it is at equal distance from previous prime (3967193) and next prime (3967207).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967207) 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, 136786 + ... + 136814.

It is an arithmetic number, because the mean of its divisors is an integer number (70525).

Almost surely, 2^3967200 is an apocalyptic number.

3967200 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 3967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7616700).

3967200 is an abundant number, since it is smaller than the sum of its proper divisors (11266200).

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

3967200 is a wasteful number, since it uses less digits than its factorization.

3967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3967200 is about 1991.7831207237. The cubic root of 3967200 is about 158.3050241785.

The spelling of 3967200 in words is "three million, nine hundred sixty-seven thousand, two hundred".