343488480 has 96 divisors (see below), whose sum is σ = 1086680448. Its totient is φ = 91200000.

The previous prime is 343488449. The next prime is 343488487. The reversal of 343488480 is 84884343.

343488480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343488487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119055 + ... + 121905.

It is an arithmetic number, because the mean of its divisors is an integer number (11319588).

Almost surely, 2^343488480 is an apocalyptic number.

343488480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543340224).

343488480 is an abundant number, since it is smaller than the sum of its proper divisors (743191968).

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

343488480 is a wasteful number, since it uses less digits than its factorization.

343488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 343488480 is about 18533.4422059152. The cubic root of 343488480 is about 700.3321416975.

The spelling of 343488480 in words is "three hundred forty-three million, four hundred eighty-eight thousand, four hundred eighty".