3388320 has 144 divisors (see below), whose sum is σ = 12520872. Its totient is φ = 829440.

The previous prime is 3388279. The next prime is 3388351. The reversal of 3388320 is 238833.

3388320 is a `hidden beast` number, since 338 + 8 + 320 = 666.

3388320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 2396304 = 996^2 + 1548^2 .

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

It is a super-2 number, since 2×3388320² = 22961424844800, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18630 + ... + 18810.

Almost surely, 2^3388320 is an apocalyptic number.

3388320 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 3388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260436).

3388320 is an abundant number, since it is smaller than the sum of its proper divisors (9132552).

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

3388320 is a wasteful number, since it uses less digits than its factorization.

3388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3388320 is about 1840.7389820396. The cubic root of 3388320 is about 150.1970742981.

The spelling of 3388320 in words is "three million, three hundred eighty-eight thousand, three hundred twenty".