343468800 has 324 divisors, whose sum is σ = 1260309960. Its totient is φ = 89210880.

The previous prime is 343468753. The next prime is 343468831. The reversal of 343468800 is 8864343.

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

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, 3859156 + ... + 3859244.

Almost surely, 2^343468800 is an apocalyptic number.

343468800 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 343468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630154980).

343468800 is an abundant number, since it is smaller than the sum of its proper divisors (916841160).

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

343468800 is a wasteful number, since it uses less digits than its factorization.

343468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 343468800 is about 18532.9112661773. The cubic root of 343468800 is about 700.3187663826.

The spelling of 343468800 in words is "three hundred forty-three million, four hundred sixty-eight thousand, eight hundred".