3996288 has 48 divisors (see below), whose sum is σ = 11503050. Its totient is φ = 1331712.

The previous prime is 3996283. The next prime is 3996323. The reversal of 3996288 is 8826993.

3996288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3968064 + 28224 = 1992^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3996281) 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 5 ways as a sum of consecutive naturals, for example, 583 + ... + 2886.

Almost surely, 2^3996288 is an apocalyptic number.

It is an amenable number.

3996288 is an abundant number, since it is smaller than the sum of its proper divisors (7506762).

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

3996288 is a wasteful number, since it uses less digits than its factorization.

3996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3474 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3996288 is about 1999.0717846040. The cubic root of 3996288 is about 158.6909863937.

The spelling of 3996288 in words is "three million, nine hundred ninety-six thousand, two hundred eighty-eight".