3388288 has 32 divisors (see below), whose sum is σ = 6842160. Its totient is φ = 1671168.

The previous prime is 3388279. The next prime is 3388351. The reversal of 3388288 is 8828833.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3388288² = 22960991141888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13056 + ... + 13312.

Almost surely, 2^3388288 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 3388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421080).

3388288 is an abundant number, since it is smaller than the sum of its proper divisors (3453872).

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

3388288 is a wasteful number, since it uses less digits than its factorization.

3388288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 3388288 is about 1840.7302898578. The cubic root of 3388288 is about 150.1966014658.

The spelling of 3388288 in words is "three million, three hundred eighty-eight thousand, two hundred eighty-eight".