3300033120 has 96 divisors (see below), whose sum is σ = 10502418528. Its totient is φ = 870924288.

The previous prime is 3300033101. The next prime is 3300033127. The reversal of 3300033120 is 213300033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3300033120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300033127) by changing a digit.

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, 11122 + ... + 81998.

It is an arithmetic number, because the mean of its divisors is an integer number (109400193).

Almost surely, 2^3300033120 is an apocalyptic number.

3300033120 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 3300033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251209264).

3300033120 is an abundant number, since it is smaller than the sum of its proper divisors (7202385408).

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

3300033120 is a wasteful number, since it uses less digits than its factorization.

3300033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70992 (or 70984 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3300033120 is about 57445.9147372553. The cubic root of 3300033120 is about 1488.8105336685.

Adding to 3300033120 its reverse (213300033), we get a palindrome (3513333153).

The spelling of 3300033120 in words is "three billion, three hundred million, thirty-three thousand, one hundred twenty".