3287440 has 80 divisors (see below), whose sum is σ = 8593200. Its totient is φ = 1161216.

The previous prime is 3287429. The next prime is 3287441. The reversal of 3287440 is 447823.

3287440 is digitally balanced in base 5, 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 8 ways, for example, as 76176 + 3211264 = 276^2 + 1792^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3287399 and 3287408.

It is not an unprimeable number, because it can be changed into a prime (3287441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30106 + ... + 30214.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

Almost surely, 2^3287440 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 3287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296600).

3287440 is an abundant number, since it is smaller than the sum of its proper divisors (5305760).

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

3287440 is a wasteful number, since it uses less digits than its factorization.

3287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 3287440 is about 1813.1298905484. The cubic root of 3287440 is about 148.6914323488.

The spelling of 3287440 in words is "three million, two hundred eighty-seven thousand, four hundred forty".