3287080 has 32 divisors (see below), whose sum is σ = 7599240. Its totient is φ = 1278720.

The previous prime is 3287077. The next prime is 3287083. The reversal of 3287080 is 807823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3287077) and next prime (3287083).

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 68644 = 1794^2 + 262^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3287083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370 + ... + 2590.

Almost surely, 2^3287080 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 3287080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799620).

3287080 is an abundant number, since it is smaller than the sum of its proper divisors (4312160).

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

3287080 is a wasteful number, since it uses less digits than its factorization.

3287080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 3287080 is about 1813.0306119865. The cubic root of 3287080 is about 148.6860045316.

The spelling of 3287080 in words is "three million, two hundred eighty-seven thousand, eighty".