342040320 has 180 divisors, whose sum is σ = 1224253800. Its totient is φ = 91183104.

The previous prime is 342040273. The next prime is 342040331. The reversal of 342040320 is 23040243.

342040320 is a `hidden beast` number, since 342 + 0 + 4 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 342040293 and 342040302.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 102031 + ... + 105329.

It is an arithmetic number, because the mean of its divisors is an integer number (6801410).

Almost surely, 2^342040320 is an apocalyptic number.

342040320 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 342040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612126900).

342040320 is an abundant number, since it is smaller than the sum of its proper divisors (882213480).

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

342040320 is an equidigital number, since it uses as much as digits as its factorization.

342040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 342040320 is about 18494.3321047287. The cubic root of 342040320 is about 699.3465466506.

Adding to 342040320 its reverse (23040243), we get a palindrome (365080563).

The spelling of 342040320 in words is "three hundred forty-two million, forty thousand, three hundred twenty".