3332303120 has 80 divisors (see below), whose sum is σ = 7908230448. Its totient is φ = 1305477120.

The previous prime is 3332303101. The next prime is 3332303153. The reversal of 3332303120 is 213032333.

It can be written as a sum of positive squares in 8 ways, for example, as 3936256 + 3328366864 = 1984^2 + 57692^2 .

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

It is a super-2 number, since 2×3332303120² = 22208488167123468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3332303092 and 3332303101.

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, 1252832 + ... + 1255488.

Almost surely, 2^3332303120 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 3332303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954115224).

3332303120 is an abundant number, since it is smaller than the sum of its proper divisors (4575927328).

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

3332303120 is a wasteful number, since it uses less digits than its factorization.

3332303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3332303120 is about 57726.1043203160. The cubic root of 3332303120 is about 1493.6476728980.

Adding to 3332303120 its reverse (213032333), we get a palindrome (3545335453).

The spelling of 3332303120 in words is "three billion, three hundred thirty-two million, three hundred three thousand, one hundred twenty".