3330320 has 80 divisors (see below), whose sum is σ = 9344640. Its totient is φ = 1078272.

The previous prime is 3330311. The next prime is 3330323. The reversal of 3330320 is 230333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3330320² = 22182062604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3330295 and 3330304.

It is not an unprimeable number, because it can be changed into a prime (3330323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10484 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (116808).

Almost surely, 2^3330320 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 3330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672320).

3330320 is an abundant number, since it is smaller than the sum of its proper divisors (6014320).

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

3330320 is a wasteful number, since it uses less digits than its factorization.

3330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 3330320 is about 1824.9164364430. The cubic root of 3330320 is about 149.3351314268.

Adding to 3330320 its reverse (230333), we get a palindrome (3560653).

The spelling of 3330320 in words is "three million, three hundred thirty thousand, three hundred twenty".