343678400 has 252 divisors, whose sum is σ = 968313024. Its totient is φ = 119808000.

The previous prime is 343678393. The next prime is 343678427. The reversal of 343678400 is 4876343.

It is a super-2 number, since 2×343678400² = 236229685253120000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 8382380 + ... + 8382420.

It is an arithmetic number, because the mean of its divisors is an integer number (3842512).

Almost surely, 2^343678400 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 343678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484156512).

343678400 is an abundant number, since it is smaller than the sum of its proper divisors (624634624).

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

343678400 is a wasteful number, since it uses less digits than its factorization.

343678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 343678400 is about 18538.5652087749. The cubic root of 343678400 is about 700.4611926766.

The spelling of 343678400 in words is "three hundred forty-three million, six hundred seventy-eight thousand, four hundred".