343284480 has 720 divisors, whose sum is σ = 1567044864. Its totient is φ = 69672960.

The previous prime is 343284463. The next prime is 343284541. The reversal of 343284480 is 84482343.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983339 + ... + 7983381.

Almost surely, 2^343284480 is an apocalyptic number.

343284480 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 343284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783522432).

343284480 is an abundant number, since it is smaller than the sum of its proper divisors (1223760384).

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

343284480 is a wasteful number, since it uses less digits than its factorization.

343284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 343284480 is about 18527.9378237299. The cubic root of 343284480 is about 700.1934703321.

The spelling of 343284480 in words is "three hundred forty-three million, two hundred eighty-four thousand, four hundred eighty".