330342120 has 48 divisors (see below), whose sum is σ = 1073613060. Its totient is φ = 88091136.

The previous prime is 330342109. The next prime is 330342127. The reversal of 330342120 is 21243033.

It can be written as a sum of positive squares in 2 ways, for example, as 328551876 + 1790244 = 18126^2 + 1338^2 .

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 = 330342093 and 330342102.

It is not an unprimeable number, because it can be changed into a prime (330342127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458449 + ... + 459168.

Almost surely, 2^330342120 is an apocalyptic number.

330342120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330342120 is an abundant number, since it is smaller than the sum of its proper divisors (743270940).

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

330342120 is a wasteful number, since it uses less digits than its factorization.

330342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917634 (or 917627 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330342120 is about 18175.3162283356. The cubic root of 330342120 is about 691.2810479968.

Adding to 330342120 its reverse (21243033), we get a palindrome (351585153).

The spelling of 330342120 in words is "three hundred thirty million, three hundred forty-two thousand, one hundred twenty".