3299120 has 80 divisors (see below), whose sum is σ = 8785152. Its totient is φ = 1140480.

The previous prime is 3299117. The next prime is 3299123. The reversal of 3299120 is 219923.

3299120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3299117) and next prime (3299123).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3299120.

It is not an unprimeable number, because it can be changed into a prime (3299123) 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, 20159 + ... + 20321.

Almost surely, 2^3299120 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 3299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392576).

3299120 is an abundant number, since it is smaller than the sum of its proper divisors (5486032).

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

3299120 is a wasteful number, since it uses less digits than its factorization.

3299120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 3299120 is about 1816.3479842805. The cubic root of 3299120 is about 148.8673202917.

It can be divided in two parts, 329 and 9120, that added together give a palindrome (9449).

The spelling of 3299120 in words is "three million, two hundred ninety-nine thousand, one hundred twenty".