3582880 has 72 divisors (see below), whose sum is σ = 9868068. Its totient is φ = 1225728.

The previous prime is 3582877. The next prime is 3582883. The reversal of 3582880 is 882853.

It is a happy number.

3582880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3582877) and next prime (3582883).

It can be written as a sum of positive squares in 2 ways, for example, as 3519376 + 63504 = 1876^2 + 252^2 .

It is not an unprimeable number, because it can be changed into a prime (3582883) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7612 + ... + 8068.

Almost surely, 2^3582880 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 3582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934034).

3582880 is an abundant number, since it is smaller than the sum of its proper divisors (6285188).

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

3582880 is a wasteful number, since it uses less digits than its factorization.

3582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 3582880 is about 1892.8497034894. The cubic root of 3582880 is about 153.0185518678.

The spelling of 3582880 in words is "three million, five hundred eighty-two thousand, eight hundred eighty".