3996960 has 96 divisors (see below), whose sum is σ = 13753152. Its totient is φ = 967680.

The previous prime is 3996959. The next prime is 3996961. The reversal of 3996960 is 696993.

It is an interprime number because it is at equal distance from previous prime (3996959) and next prime (3996961).

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

It is not an unprimeable number, because it can be changed into a prime (3996961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4902 + ... + 5658.

It is an arithmetic number, because the mean of its divisors is an integer number (143262).

Almost surely, 2^3996960 is an apocalyptic number.

3996960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876576).

3996960 is an abundant number, since it is smaller than the sum of its proper divisors (9756192).

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

3996960 is a wasteful number, since it uses less digits than its factorization.

3996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 3996960 is about 1999.2398555451. The cubic root of 3996960 is about 158.6998808449.

The spelling of 3996960 in words is "three million, nine hundred ninety-six thousand, nine hundred sixty".