3278080 has 72 divisors (see below), whose sum is σ = 8498952. Its totient is φ = 1204224.

The previous prime is 3278071. The next prime is 3278081. The reversal of 3278080 is 808723.

It is a happy number.

3278080 is a nontrivial binomial coefficient, being equal to C(2561, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 2663424 = 784^2 + 1632^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3278081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16542 + ... + 16738.

It is an arithmetic number, because the mean of its divisors is an integer number (118041).

Almost surely, 2^3278080 is an apocalyptic number.

3278080 is the 2560-th triangular number.

3278080 is the 854-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249476).

3278080 is an abundant number, since it is smaller than the sum of its proper divisors (5220872).

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

3278080 is a wasteful number, since it uses less digits than its factorization.

3278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

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

The square root of 3278080 is about 1810.5468787082. The cubic root of 3278080 is about 148.5501801114.

The spelling of 3278080 in words is "three million, two hundred seventy-eight thousand, eighty".