344001400 has 48 divisors (see below), whose sum is σ = 803955240. Its totient is φ = 136886400.

The previous prime is 344001391. The next prime is 344001421. The reversal of 344001400 is 4100443.

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 11 ways as a sum of consecutive naturals, for example, 35035 + ... + 43765.

Almost surely, 2^344001400 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 344001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401977620).

344001400 is an abundant number, since it is smaller than the sum of its proper divisors (459953840).

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

344001400 is a wasteful number, since it uses less digits than its factorization.

344001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8944 (or 8935 counting only the distinct ones).

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

The square root of 344001400 is about 18547.2747324236. The cubic root of 344001400 is about 700.6805626104.

Adding to 344001400 its reverse (4100443), we get a palindrome (348101843).

The spelling of 344001400 in words is "three hundred forty-four million, one thousand, four hundred".