344480000 has 90 divisors (see below), whose sum is σ = 859642014. Its totient is φ = 137728000.

The previous prime is 344479999. The next prime is 344480011. The reversal of 344480000 is 84443.

It can be written as a sum of positive squares in 5 ways, for example, as 221890816 + 122589184 = 14896^2 + 11072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 158924 + ... + 161076.

Almost surely, 2^344480000 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 344480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429821007).

344480000 is an abundant number, since it is smaller than the sum of its proper divisors (515162014).

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

344480000 is an frugal number, since it uses more digits than its factorization.

344480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 344480000 is about 18560.1724129923. The cubic root of 344480000 is about 701.0053581085.

The spelling of 344480000 in words is "three hundred forty-four million, four hundred eighty thousand".