3287680 has 64 divisors (see below), whose sum is σ = 8592480. Its totient is φ = 1192960.

The previous prime is 3287677. The next prime is 3287699. The reversal of 3287680 is 867823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 6807 + ... + 7273.

Almost surely, 2^3287680 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 3287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296240).

3287680 is an abundant number, since it is smaller than the sum of its proper divisors (5304800).

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

3287680 is a wasteful number, since it uses less digits than its factorization.

3287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 3287680 is about 1813.1960732364. The cubic root of 3287680 is about 148.6950506734.

It can be divided in two parts, 328 and 7680, that added together give a palindrome (8008).

The spelling of 3287680 in words is "three million, two hundred eighty-seven thousand, six hundred eighty".