3303211120 has 80 divisors (see below), whose sum is σ = 8389150560. Its totient is φ = 1199590400.

The previous prime is 3303211103. The next prime is 3303211127. The reversal of 3303211120 is 211123033.

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

It is a super-2 number, since 2×3303211120² = 21822407406583308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3303211094 and 3303211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303211127) 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, 826086 + ... + 830074.

It is an arithmetic number, because the mean of its divisors is an integer number (104864382).

Almost surely, 2^3303211120 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 3303211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194575280).

3303211120 is an abundant number, since it is smaller than the sum of its proper divisors (5085939440).

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

3303211120 is a wasteful number, since it uses less digits than its factorization.

3303211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3303211120 is about 57473.5688817042. The cubic root of 3303211120 is about 1489.2882987586.

Adding to 3303211120 its reverse (211123033), we get a palindrome (3514334153).

The spelling of 3303211120 in words is "three billion, three hundred three million, two hundred eleven thousand, one hundred twenty".