3282820 has 48 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 1213056.

The previous prime is 3282817. The next prime is 3282833. The reversal of 3282820 is 282823.

3282820 = T₅₉ + T₆₀ + ... + T₂₇₀.

It is a congruent number.

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, 20059 + ... + 20221.

It is an arithmetic number, because the mean of its divisors is an integer number (154980).

Almost surely, 2^3282820 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 3282820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

3282820 is an abundant number, since it is smaller than the sum of its proper divisors (4156220).

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

3282820 is a wasteful number, since it uses less digits than its factorization.

3282820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3282820 is about 1811.8554026191. The cubic root of 3282820 is about 148.6217452495.

The spelling of 3282820 in words is "three million, two hundred eighty-two thousand, eight hundred twenty".