354306120 has 128 divisors (see below), whose sum is σ = 1218723840. Its totient is φ = 80720640.

The previous prime is 354306109. The next prime is 354306143. The reversal of 354306120 is 21603453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 388465 + ... + 389375.

It is an arithmetic number, because the mean of its divisors is an integer number (9521280).

Almost surely, 2^354306120 is an apocalyptic number.

354306120 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 354306120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609361920).

354306120 is an abundant number, since it is smaller than the sum of its proper divisors (864417720).

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

354306120 is a wasteful number, since it uses less digits than its factorization.

354306120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 354306120 is about 18823.0210115167. The cubic root of 354306120 is about 707.6082450803.

Adding to 354306120 its reverse (21603453), we get a palindrome (375909573).

The spelling of 354306120 in words is "three hundred fifty-four million, three hundred six thousand, one hundred twenty".