343800800 has 216 divisors, whose sum is σ = 1007029296. Its totient is φ = 112250880.

The previous prime is 343800799. The next prime is 343800823. The reversal of 343800800 is 8008343.

It is a self number, because there is not a number n which added to its sum of digits gives 343800800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4709564 + ... + 4709636.

Almost surely, 2^343800800 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 343800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503514648).

343800800 is an abundant number, since it is smaller than the sum of its proper divisors (663228496).

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

343800800 is a wasteful number, since it uses less digits than its factorization.

343800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 343800800 is about 18541.8661412491. The cubic root of 343800800 is about 700.5443385030.

The spelling of 343800800 in words is "three hundred forty-three million, eight hundred thousand, eight hundred".