342405120 has 104 divisors (see below), whose sum is σ = 1095759216. Its totient is φ = 91291648.

The previous prime is 342405083. The next prime is 342405149. The reversal of 342405120 is 21504243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58654 + ... + 64226.

Almost surely, 2^342405120 is an apocalyptic number.

342405120 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 342405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547879608).

342405120 is an abundant number, since it is smaller than the sum of its proper divisors (753354096).

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

342405120 is an equidigital number, since it uses as much as digits as its factorization.

342405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 342405120 is about 18504.1919574998. The cubic root of 342405120 is about 699.5950855506.

Adding to 342405120 its reverse (21504243), we get a palindrome (363909363).

The spelling of 342405120 in words is "three hundred forty-two million, four hundred five thousand, one hundred twenty".