343200480 has 192 divisors, whose sum is σ = 1289530368. Its totient is φ = 75018240.

The previous prime is 343200479. The next prime is 343200497. The reversal of 343200480 is 84002343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 343200480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75060 + ... + 79500.

It is an arithmetic number, because the mean of its divisors is an integer number (6716304).

Almost surely, 2^343200480 is an apocalyptic number.

343200480 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 343200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644765184).

343200480 is an abundant number, since it is smaller than the sum of its proper divisors (946329888).

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

343200480 is a wasteful number, since it uses less digits than its factorization.

343200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 343200480 is about 18525.6708380560. The cubic root of 343200480 is about 700.1363543899.

The spelling of 343200480 in words is "three hundred forty-three million, two hundred thousand, four hundred eighty".