3288000 has 112 divisors (see below), whose sum is σ = 10936224. Its totient is φ = 870400.

The previous prime is 3287989. The next prime is 3288023. The reversal of 3288000 is 8823.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 23932 + ... + 24068.

Almost surely, 2^3288000 is an apocalyptic number.

3288000 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 3288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468112).

3288000 is an abundant number, since it is smaller than the sum of its proper divisors (7648224).

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

3288000 is a wasteful number, since it uses less digits than its factorization.

3288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3288000 is about 1813.2843130629. The cubic root of 3288000 is about 148.6998748323.

The spelling of 3288000 in words is "three million, two hundred eighty-eight thousand".