3928960 has 64 divisors (see below), whose sum is σ = 10746720. Its totient is φ = 1345536.

The previous prime is 3928937. The next prime is 3928961. The reversal of 3928960 is 698293.

3928960 = T₁₈₁ + T₁₈₂ + ... + T₃₀₈.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4042 + ... + 4918.

Almost surely, 2^3928960 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 3928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373360).

3928960 is an abundant number, since it is smaller than the sum of its proper divisors (6817760).

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

3928960 is an equidigital number, since it uses as much as digits as its factorization.

3928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3928960 is about 1982.1604375025. The cubic root of 3928960 is about 157.7947449554.

The spelling of 3928960 in words is "three million, nine hundred twenty-eight thousand, nine hundred sixty".