3966440 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1410048.

The previous prime is 3966439. The next prime is 3966503. The reversal of 3966440 is 446693.

3966440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3966397 and 3966406.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12767 + ... + 13073.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^3966440 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 3966440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3966440 is an abundant number, since it is smaller than the sum of its proper divisors (6012760).

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

3966440 is a wasteful number, since it uses less digits than its factorization.

3966440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 3966440 is about 1991.5923277619. The cubic root of 3966440 is about 158.2949146553.

The spelling of 3966440 in words is "three million, nine hundred sixty-six thousand, four hundred forty".