3300144120 has 864 divisors, whose sum is σ = 14352221520. Its totient is φ = 679311360.

The previous prime is 3300144097. The next prime is 3300144137. The reversal of 3300144120 is 214410033.

3300144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3300144093 and 3300144102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80491300 + ... + 80491340.

Almost surely, 2^3300144120 is an apocalyptic number.

3300144120 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 3300144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176110760).

3300144120 is an abundant number, since it is smaller than the sum of its proper divisors (11052077400).

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

3300144120 is a wasteful number, since it uses less digits than its factorization.

3300144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3300144120 is about 57446.8808552736. The cubic root of 3300144120 is about 1488.8272260379.

Adding to 3300144120 its reverse (214410033), we get a palindrome (3514554153).

The spelling of 3300144120 in words is "three billion, three hundred million, one hundred forty-four thousand, one hundred twenty".