3559120 has 40 divisors (see below), whose sum is σ = 8765064. Its totient is φ = 1339392.

The previous prime is 3559117. The next prime is 3559151. The reversal of 3559120 is 219553.

3559120 is digitally balanced in base 2, 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 4 ways, for example, as 1774224 + 1784896 = 1332^2 + 1336^2 .

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 2668.

Almost surely, 2^3559120 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 3559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532).

3559120 is an abundant number, since it is smaller than the sum of its proper divisors (5205944).

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

3559120 is a wasteful number, since it uses less digits than its factorization.

3559120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 3559120 is about 1886.5630124647. The cubic root of 3559120 is about 152.6795520187.

The spelling of 3559120 in words is "three million, five hundred fifty-nine thousand, one hundred twenty".