3288820 has 36 divisors (see below), whose sum is σ = 7349580. Its totient is φ = 1235968.

The previous prime is 3288811. The next prime is 3288823. The reversal of 3288820 is 288823.

It can be written as a sum of positive squares in 6 ways, for example, as 5476 + 3283344 = 74^2 + 1812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5496 + ... + 6064.

It is an arithmetic number, because the mean of its divisors is an integer number (204155).

Almost surely, 2^3288820 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 3288820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674790).

3288820 is an abundant number, since it is smaller than the sum of its proper divisors (4060760).

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

3288820 is a wasteful number, since it uses less digits than its factorization.

3288820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3288820 is about 1813.5104080209. The cubic root of 3288820 is about 148.7122353111.

The spelling of 3288820 in words is "three million, two hundred eighty-eight thousand, eight hundred twenty".