344380480 has 56 divisors (see below), whose sum is σ = 823078872. Its totient is φ = 137244672.

The previous prime is 344380471. The next prime is 344380483. The reversal of 344380480 is 84083443.

It can be written as a sum of positive squares in 4 ways, for example, as 36869184 + 307511296 = 6072^2 + 17536^2 .

It is not an unprimeable number, because it can be changed into a prime (344380483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91924 + ... + 95596.

It is an arithmetic number, because the mean of its divisors is an integer number (14697837).

Almost surely, 2^344380480 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 344380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411539436).

344380480 is an abundant number, since it is smaller than the sum of its proper divisors (478698392).

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

344380480 is a wasteful number, since it uses less digits than its factorization.

344380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 344380480 is about 18557.4912097514. The cubic root of 344380480 is about 700.9378449751.

The spelling of 344380480 in words is "three hundred forty-four million, three hundred eighty thousand, four hundred eighty".