342224000 has 128 divisors (see below), whose sum is σ = 865453680. Its totient is φ = 134553600.

The previous prime is 342223997. The next prime is 342224039. The reversal of 342224000 is 422243.

It can be written as a sum of positive squares in 8 ways, for example, as 75620416 + 266603584 = 8696^2 + 16328^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 342224000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167854 + ... + 1168146.

Almost surely, 2^342224000 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 342224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432726840).

342224000 is an abundant number, since it is smaller than the sum of its proper divisors (523229680).

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

342224000 is an equidigital number, since it uses as much as digits as its factorization.

342224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 342224000 is about 18499.2972839511. The cubic root of 342224000 is about 699.4717102437.

Adding to 342224000 its reverse (422243), we get a palindrome (342646243).

The spelling of 342224000 in words is "three hundred forty-two million, two hundred twenty-four thousand".