343428800 has 336 divisors, whose sum is σ = 1058265600. Its totient is φ = 107827200.

The previous prime is 343428797. The next prime is 343428901. The reversal of 343428800 is 8824343.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4347161 + ... + 4347239.

It is an arithmetic number, because the mean of its divisors is an integer number (3149600).

Almost surely, 2^343428800 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 343428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529132800).

343428800 is an abundant number, since it is smaller than the sum of its proper divisors (714836800).

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

343428800 is a wasteful number, since it uses less digits than its factorization.

343428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 343428800 is about 18531.8320734891. The cubic root of 343428800 is about 700.2915792085.

The spelling of 343428800 in words is "three hundred forty-three million, four hundred twenty-eight thousand, eight hundred".