343094400 has 576 divisors, whose sum is σ = 1445666400. Its totient is φ = 78796800.

The previous prime is 343094359. The next prime is 343094431. The reversal of 343094400 is 4490343.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×343094400² = 235427534622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 18057591 + ... + 18057609.

Almost surely, 2^343094400 is an apocalyptic number.

343094400 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 343094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722833200).

343094400 is an abundant number, since it is smaller than the sum of its proper divisors (1102572000).

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

343094400 is a wasteful number, since it uses less digits than its factorization.

343094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 343094400 is about 18522.8075625700. The cubic root of 343094400 is about 700.0642117967.

The spelling of 343094400 in words is "three hundred forty-three million, ninety-four thousand, four hundred".