3288816 has 80 divisors (see below), whose sum is σ = 9880320. Its totient is φ = 1045440.

The previous prime is 3288811. The next prime is 3288823. The reversal of 3288816 is 6188823.

3288816 = T₁₁₅ + T₁₁₆ + ... + T₂₇₆.

3288816 is nontrivially palindromic in base 5.

3288816 is digitally balanced in base 2, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9771 + ... + 10101.

It is an arithmetic number, because the mean of its divisors is an integer number (123504).

Almost surely, 2^3288816 is an apocalyptic number.

3288816 is a gapful number since it is divisible by the number (36) 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 3288816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940160).

3288816 is an abundant number, since it is smaller than the sum of its proper divisors (6591504).

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

3288816 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (3288815) it forms an eRAP, since the sums of their prime factors are consecutive (370 and 371).

3288816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3288816 is about 1813.5093051870. The cubic root of 3288816 is about 148.7121750210.

The spelling of 3288816 in words is "three million, two hundred eighty-eight thousand, eight hundred sixteen".