3288480 has 192 divisors, whose sum is σ = 12192768. Its totient is φ = 737280.

The previous prime is 3288479. The next prime is 3288499. The reversal of 3288480 is 848823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106065 + ... + 106095.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

Almost surely, 2^3288480 is an apocalyptic number.

3288480 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 3288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

3288480 is an abundant number, since it is smaller than the sum of its proper divisors (8904288).

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

3288480 is a wasteful number, since it uses less digits than its factorization.

3288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3288480 is about 1813.4166647519. The cubic root of 3288480 is about 148.7071104839.

The spelling of 3288480 in words is "three million, two hundred eighty-eight thousand, four hundred eighty".