3008320 has 112 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 958464.

The previous prime is 3008311. The next prime is 3008339. The reversal of 3008320 is 238003.

It is a happy number.

3008320 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3008294 and 3008303.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 38041 + ... + 38119.

Almost surely, 2^3008320 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 3008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

3008320 is an abundant number, since it is smaller than the sum of its proper divisors (5769920).

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

3008320 is a wasteful number, since it uses less digits than its factorization.

3008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3008320 is about 1734.4509217617. The cubic root of 3008320 is about 144.3581619263.

It can be divided in two parts, 30083 and 20, that added together give a palindrome (30103).

The spelling of 3008320 in words is "three million, eight thousand, three hundred twenty".