344212000 has 96 divisors (see below), whose sum is σ = 922731264. Its totient is φ = 125152000.

The previous prime is 344211979. The next prime is 344212019. The reversal of 344212000 is 212443.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 40089 + ... + 47911.

It is an arithmetic number, because the mean of its divisors is an integer number (9611784).

Almost surely, 2^344212000 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 344212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461365632).

344212000 is an abundant number, since it is smaller than the sum of its proper divisors (578519264).

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

344212000 is a wasteful number, since it uses less digits than its factorization.

344212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7859 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 344212000 is about 18552.9512477126. The cubic root of 344212000 is about 700.8235205786.

Adding to 344212000 its reverse (212443), we get a palindrome (344424443).

The spelling of 344212000 in words is "three hundred forty-four million, two hundred twelve thousand".