3928160 has 24 divisors (see below), whose sum is σ = 9280656. Its totient is φ = 1571200.

The previous prime is 3928159. The next prime is 3928163. The reversal of 3928160 is 618293.

3928160 = T₁₂₅₁ + T₁₂₅₂ + ... + T₁₂₅₅.

3928160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928163) 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 3 ways as a sum of consecutive naturals, for example, 12116 + ... + 12435.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^3928160 is an apocalyptic number.

It is an amenable number.

3928160 is an abundant number, since it is smaller than the sum of its proper divisors (5352496).

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

3928160 is a wasteful number, since it uses less digits than its factorization.

3928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24566 (or 24558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 3928160 is about 1981.9586272170. The cubic root of 3928160 is about 157.7840343717.

The spelling of 3928160 in words is "three million, nine hundred twenty-eight thousand, one hundred sixty".