344006800 has 60 divisors (see below), whose sum is σ = 828324340. Its totient is φ = 137295360.

The previous prime is 344006779. The next prime is 344006813. The reversal of 344006800 is 8600443.

It can be written as a sum of positive squares in 6 ways, for example, as 122235136 + 221771664 = 11056^2 + 14892^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 282994 + ... + 284206.

Almost surely, 2^344006800 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 344006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414162170).

344006800 is an abundant number, since it is smaller than the sum of its proper divisors (484317540).

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

344006800 is a wasteful number, since it uses less digits than its factorization.

344006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 344006800 is about 18547.4203057999. The cubic root of 344006800 is about 700.6842289281.

The spelling of 344006800 in words is "three hundred forty-four million, six thousand, eight hundred".