3996080 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1370880.

The previous prime is 3996079. The next prime is 3996107. The reversal of 3996080 is 806993.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3996080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16601 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^3996080 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 3996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3996080 is an abundant number, since it is smaller than the sum of its proper divisors (6717520).

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

3996080 is a wasteful number, since it uses less digits than its factorization.

3996080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 3996080 is about 1999.0197597823. The cubic root of 3996080 is about 158.6882331472.

The spelling of 3996080 in words is "three million, nine hundred ninety-six thousand, eighty".