3582540 has 72 divisors (see below), whose sum is σ = 11710608. Its totient is φ = 881280.

The previous prime is 3582521. The next prime is 3582547. The reversal of 3582540 is 452853.

3582540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3582547) 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 23 ways as a sum of consecutive naturals, for example, 1575 + ... + 3105.

Almost surely, 2^3582540 is an apocalyptic number.

3582540 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 3582540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855304).

3582540 is an abundant number, since it is smaller than the sum of its proper divisors (8128068).

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

3582540 is a wasteful number, since it uses less digits than its factorization.

3582540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3582540 is about 1892.7598896849. The cubic root of 3582540 is about 153.0137114458.

The spelling of 3582540 in words is "three million, five hundred eighty-two thousand, five hundred forty".