3946400 has 36 divisors (see below), whose sum is σ = 9636102. Its totient is φ = 1578240.

The previous prime is 3946399. The next prime is 3946403. The reversal of 3946400 is 46493.

3946400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2572816 + 1373584 = 1604^2 + 1172^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3946400.

It is not an unprimeable number, because it can be changed into a prime (3946403) 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 5 ways as a sum of consecutive naturals, for example, 1667 + ... + 3266.

Almost surely, 2^3946400 is an apocalyptic number.

It is an amenable number.

3946400 is an abundant number, since it is smaller than the sum of its proper divisors (5689702).

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

3946400 is a wasteful number, since it uses less digits than its factorization.

3946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3946400 is about 1986.5548066942. The cubic root of 3946400 is about 158.0278752292.

The spelling of 3946400 in words is "three million, nine hundred forty-six thousand, four hundred".