3582020 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1262976.

The previous prime is 3582017. The next prime is 3582077. The reversal of 3582020 is 202853.

3582020 = 202² + 203² + ... + 266².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3581983 and 3582001.

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, 5681 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 2^3582020 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 3582020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3582020 is an abundant number, since it is smaller than the sum of its proper divisors (4885180).

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

3582020 is a wasteful number, since it uses less digits than its factorization.

3582020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3582020 is about 1892.6225191517. The cubic root of 3582020 is about 153.0063078550.

3582020 divided by its sum of digits (20) gives a triangular number (179101 = T₅₉₈).

Adding to 3582020 its reverse (202853), we get a palindrome (3784873).

The spelling of 3582020 in words is "three million, five hundred eighty-two thousand, twenty".