3132288 has 48 divisors (see below), whose sum is σ = 9016800. Its totient is φ = 1043712.

The previous prime is 3132287. The next prime is 3132299. The reversal of 3132288 is 8822313.

3132288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3132288² = 19622456229888, which contains 22 as substring.

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 (3132281) 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 5 ways as a sum of consecutive naturals, for example, 208 + ... + 2511.

It is an arithmetic number, because the mean of its divisors is an integer number (187850).

Almost surely, 2^3132288 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 3132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508400).

3132288 is an abundant number, since it is smaller than the sum of its proper divisors (5884512).

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

3132288 is a wasteful number, since it uses less digits than its factorization.

3132288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2724 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3132288 is about 1769.8271102003. The cubic root of 3132288 is about 146.3144532915.

It can be divided in two parts, 313228 and 8, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 3132288 in words is "three million, one hundred thirty-two thousand, two hundred eighty-eight".