3288672 has 72 divisors (see below), whose sum is σ = 9860760. Its totient is φ = 1036800.

The previous prime is 3288631. The next prime is 3288673. The reversal of 3288672 is 2768823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹⁰ + 2¹⁸ + 8² + 8² + 6⁶ + 7⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288673) 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, 5172 + ... + 5772.

It is an arithmetic number, because the mean of its divisors is an integer number (136955).

Almost surely, 2^3288672 is an apocalyptic number.

3288672 is a gapful number since it is divisible by the number (32) 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 3288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930380).

3288672 is an abundant number, since it is smaller than the sum of its proper divisors (6572088).

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

3288672 is a wasteful number, since it uses less digits than its factorization.

3288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 625 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3288672 is about 1813.4696027229. The cubic root of 3288672 is about 148.7100045473.

The spelling of 3288672 in words is "three million, two hundred eighty-eight thousand, six hundred seventy-two".