3580880 has 40 divisors (see below), whose sum is σ = 8818632. Its totient is φ = 1347584.

The previous prime is 3580861. The next prime is 3580901. The reversal of 3580880 is 880853.

It is a happy number.

3580880 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 283024 + 3297856 = 532^2 + 1816^2 .

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, 44 + ... + 2676.

Almost surely, 2^3580880 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 3580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409316).

3580880 is an abundant number, since it is smaller than the sum of its proper divisors (5237752).

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

3580880 is a wasteful number, since it uses less digits than its factorization.

3580880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 3580880 is about 1892.3213257795. The cubic root of 3580880 is about 152.9900743985.

The spelling of 3580880 in words is "three million, five hundred eighty thousand, eight hundred eighty".