3242820 has 72 divisors (see below), whose sum is σ = 10571904. Its totient is φ = 740544.

The previous prime is 3242803. The next prime is 3242831. The reversal of 3242820 is 282423.

3242820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3242820³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 2389 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (146832).

Almost surely, 2^3242820 is an apocalyptic number.

3242820 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 3242820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285952).

3242820 is an abundant number, since it is smaller than the sum of its proper divisors (7329084).

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

3242820 is a wasteful number, since it uses less digits than its factorization.

3242820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3242820 is about 1800.7831629599. The cubic root of 3242820 is about 148.0156423691.

The spelling of 3242820 in words is "three million, two hundred forty-two thousand, eight hundred twenty".