3305120 has 96 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1041408.

The previous prime is 3305119. The next prime is 3305147. The reversal of 3305120 is 215033.

3305120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3305120³ (a number of 21 digits) contains 333 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 = 3305095 and 3305104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14447 + ... + 14673.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

Almost surely, 2^3305120 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 3305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

3305120 is an abundant number, since it is smaller than the sum of its proper divisors (6347488).

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

3305120 is a wasteful number, since it uses less digits than its factorization.

3305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3305120 is about 1817.9988998897. The cubic root of 3305120 is about 148.9575123215.

The spelling of 3305120 in words is "three million, three hundred five thousand, one hundred twenty".