3996440 has 48 divisors (see below), whose sum is σ = 10465200. Its totient is φ = 1369536.

The previous prime is 3996439. The next prime is 3996467. The reversal of 3996440 is 446993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3996440.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 941 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^3996440 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 3996440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232600).

3996440 is an abundant number, since it is smaller than the sum of its proper divisors (6468760).

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

3996440 is a wasteful number, since it uses less digits than its factorization.

3996440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3996440 is about 1999.1098018868. The cubic root of 3996440 is about 158.6929983211.

It can be divided in two parts, 39964 and 40, that added together give a palindrome (40004).

The spelling of 3996440 in words is "three million, nine hundred ninety-six thousand, four hundred forty".