3287120 has 40 divisors (see below), whose sum is σ = 8095464. Its totient is φ = 1236992.

The previous prime is 3287101. The next prime is 3287143. The reversal of 3287120 is 217823.

It can be written as a sum of positive squares in 4 ways, for example, as 1628176 + 1658944 = 1276^2 + 1288^2 .

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

It is a congruent number.

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, 152 + ... + 2568.

Almost surely, 2^3287120 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 3287120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047732).

3287120 is an abundant number, since it is smaller than the sum of its proper divisors (4808344).

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

3287120 is a wasteful number, since it uses less digits than its factorization.

3287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3287120 is about 1813.0416432062. The cubic root of 3287120 is about 148.6866076420.

The spelling of 3287120 in words is "three million, two hundred eighty-seven thousand, one hundred twenty".