3960096 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1102080.

The previous prime is 3960083. The next prime is 3960101. The reversal of 3960096 is 6900693.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47671 + ... + 47753.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^3960096 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 3960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

3960096 is an abundant number, since it is smaller than the sum of its proper divisors (8232672).

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

3960096 is a wasteful number, since it uses less digits than its factorization.

3960096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 3960096 is about 1989.9989949746. The cubic root of 3960096 is about 158.2104763171.

The spelling of 3960096 in words is "three million, nine hundred sixty thousand, ninety-six".