3582840 has 64 divisors (see below), whose sum is σ = 10922400. Its totient is φ = 940032.

The previous prime is 3582833. The next prime is 3582877. The reversal of 3582840 is 482853.

3582840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3¹³ + 5⁹ + 8³ + 2¹¹ + 8⁵ + 4³ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3582798 and 3582807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8556 + ... + 8964.

Almost surely, 2^3582840 is an apocalyptic number.

3582840 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 3582840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461200).

3582840 is an abundant number, since it is smaller than the sum of its proper divisors (7339560).

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

3582840 is a wasteful number, since it uses less digits than its factorization.

3582840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3582840 is about 1892.8391373807. The cubic root of 3582840 is about 153.0179824223.

The spelling of 3582840 in words is "three million, five hundred eighty-two thousand, eight hundred forty".