342213120 has 160 divisors (see below), whose sum is σ = 1215815040. Its totient is φ = 91238400.

The previous prime is 342213107. The next prime is 342213127. The reversal of 342213120 is 21312243.

342213120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×342213120³ (a number of 27 digits) contains 333 as substring.

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 = 342213093 and 342213102.

It is not an unprimeable number, because it can be changed into a prime (342213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66645 + ... + 71595.

It is an arithmetic number, because the mean of its divisors is an integer number (7598844).

Almost surely, 2^342213120 is an apocalyptic number.

342213120 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 342213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607907520).

342213120 is an abundant number, since it is smaller than the sum of its proper divisors (873601920).

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

342213120 is an equidigital number, since it uses as much as digits as its factorization.

342213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342213120 is about 18499.0032163898. The cubic root of 342213120 is about 699.4642976204.

Adding to 342213120 its reverse (21312243), we get a palindrome (363525363).

The spelling of 342213120 in words is "three hundred forty-two million, two hundred thirteen thousand, one hundred twenty".