3168400 has 45 divisors (see below), whose sum is σ = 7698571. Its totient is φ = 1253120.

The previous prime is 3168371. The next prime is 3168449. The reversal of 3168400 is 48613.

The square root of 3168400 is 1780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 2509056 = 812^2 + 1584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35556 + ... + 35644.

Almost surely, 2^3168400 is an apocalyptic number.

3168400 is the 1780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3168400

3168400 is an abundant number, since it is smaller than the sum of its proper divisors (4530171).

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

3168400 is an equidigital number, since it uses as much as digits as its factorization.

3168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 3168400 is about 146.8745903112.

Multiplying 3168400 by its product of nonzero digits (576), we get a square (1824998400 = 42720²).

The spelling of 3168400 in words is "three million, one hundred sixty-eight thousand, four hundred".