344000480 has 48 divisors (see below), whose sum is σ = 814937760. Its totient is φ = 137221632.

The previous prime is 344000479. The next prime is 344000497. The reversal of 344000480 is 84000443.

It is a super-3 number, since 3×344000480³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59477 + ... + 65003.

It is an arithmetic number, because the mean of its divisors is an integer number (16977870).

Almost surely, 2^344000480 is an apocalyptic number.

It is an amenable number.

344000480 is an abundant number, since it is smaller than the sum of its proper divisors (470937280).

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

344000480 is a wasteful number, since it uses less digits than its factorization.

344000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5923 counting only the distinct ones).

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

The square root of 344000480 is about 18547.2499309197. The cubic root of 344000480 is about 700.6799379747.

The spelling of 344000480 in words is "three hundred forty-four million, four hundred eighty", and thus it is an aban number.