3965440 has 40 divisors (see below), whose sum is σ = 9513900. Its totient is φ = 1585152.

The previous prime is 3965419. The next prime is 3965441. The reversal of 3965440 is 445693.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 92416 = 1968^2 + 304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3965441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1786 + ... + 3334.

Almost surely, 2^3965440 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 3965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756950).

3965440 is an abundant number, since it is smaller than the sum of its proper divisors (5548460).

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

3965440 is an equidigital number, since it uses as much as digits as its factorization.

3965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3965440 is about 1991.3412565404. The cubic root of 3965440 is about 158.2816106834.

The spelling of 3965440 in words is "three million, nine hundred sixty-five thousand, four hundred forty".