342633120 has 96 divisors (see below), whose sum is σ = 1087732800. Its totient is φ = 90654720.

The previous prime is 342633103. The next prime is 342633121. The reversal of 342633120 is 21336243.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (342633121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60156 + ... + 65604.

It is an arithmetic number, because the mean of its divisors is an integer number (11330550).

Almost surely, 2^342633120 is an apocalyptic number.

342633120 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 342633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543866400).

342633120 is an abundant number, since it is smaller than the sum of its proper divisors (745099680).

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

342633120 is a wasteful number, since it uses less digits than its factorization.

342633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 342633120 is about 18510.3516984416. The cubic root of 342633120 is about 699.7503327311.

Adding to 342633120 its reverse (21336243), we get a palindrome (363969363).

The spelling of 342633120 in words is "three hundred forty-two million, six hundred thirty-three thousand, one hundred twenty".