3996416 has 36 divisors (see below), whose sum is σ = 8131032. Its totient is φ = 1959936.

The previous prime is 3996413. The next prime is 3996431. The reversal of 3996416 is 6146993.

3996416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3996416.

It is not an unprimeable number, because it can be changed into a prime (3996413) 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, 17036 + ... + 17268.

It is an arithmetic number, because the mean of its divisors is an integer number (225862).

Almost surely, 2^3996416 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 3996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065516).

3996416 is an abundant number, since it is smaller than the sum of its proper divisors (4134616).

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

3996416 is an equidigital number, since it uses as much as digits as its factorization.

3996416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 3996416 is about 1999.1037992060. The cubic root of 3996416 is about 158.6926806518.

The spelling of 3996416 in words is "three million, nine hundred ninety-six thousand, four hundred sixteen".