3312288 has 144 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 898560.

The previous prime is 3312227. The next prime is 3312307. The reversal of 3312288 is 8822133.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (2304) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62470 + ... + 62522.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

Almost surely, 2^3312288 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 3312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3312288 is an abundant number, since it is smaller than the sum of its proper divisors (8009568).

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

3312288 is a wasteful number, since it uses less digits than its factorization.

3312288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

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

The square root of 3312288 is about 1819.9692305091. The cubic root of 3312288 is about 149.0651187520.

It can be divided in two parts, 3312 and 288, that added together give a square (3600 = 60²).

The spelling of 3312288 in words is "three million, three hundred twelve thousand, two hundred eighty-eight".