3582240 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 897024.

The previous prime is 3582239. The next prime is 3582259. The reversal of 3582240 is 422853.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3582240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7941 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^3582240 is an apocalyptic number.

3582240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3582240 is an abundant number, since it is smaller than the sum of its proper divisors (8392800).

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

3582240 is a wasteful number, since it uses less digits than its factorization.

3582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3582240 is about 1892.6806386710. The cubic root of 3582240 is about 153.0094402309.

The spelling of 3582240 in words is "three million, five hundred eighty-two thousand, two hundred forty".