3968360 has 64 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 1388800.

The previous prime is 3968357. The next prime is 3968381. The reversal of 3968360 is 638693.

3968360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3968360.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12605 + ... + 12915.

It is an arithmetic number, because the mean of its divisors is an integer number (157950).

Almost surely, 2^3968360 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 3968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054400).

3968360 is an abundant number, since it is smaller than the sum of its proper divisors (6140440).

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

3968360 is a wasteful number, since it uses less digits than its factorization.

3968360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3968360 is about 1992.0742958032. The cubic root of 3968360 is about 158.3204520145.

The spelling of 3968360 in words is "three million, nine hundred sixty-eight thousand, three hundred sixty".