342118400 has 156 divisors (see below), whose sum is σ = 917162652. Its totient is φ = 125829120.

The previous prime is 342118333. The next prime is 342118451. The reversal of 342118400 is 4811243.

It can be written as a sum of positive squares in 6 ways, for example, as 16384 + 342102016 = 128^2 + 18496^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331072 + ... + 1331328.

Almost surely, 2^342118400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458581326).

342118400 is an abundant number, since it is smaller than the sum of its proper divisors (575044252).

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

342118400 is a wasteful number, since it uses less digits than its factorization.

342118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 342118400 is about 18496.4429012716. The cubic root of 342118400 is about 699.3997575545.

Adding to 342118400 its reverse (4811243), we get a palindrome (346929643).

The spelling of 342118400 in words is "three hundred forty-two million, one hundred eighteen thousand, four hundred".