343365120 has 240 divisors, whose sum is σ = 1359689760. Its totient is φ = 78446592.

The previous prime is 343365101. The next prime is 343365161. The reversal of 343365120 is 21563343.

It is a happy number.

343365120 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×343365120² = 235799211265228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160216 + ... + 162344.

It is an arithmetic number, because the mean of its divisors is an integer number (5665374).

Almost surely, 2^343365120 is an apocalyptic number.

343365120 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 343365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679844880).

343365120 is an abundant number, since it is smaller than the sum of its proper divisors (1016324640).

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

343365120 is a wasteful number, since it uses less digits than its factorization.

343365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 343365120 is about 18530.1138690511. The cubic root of 343365120 is about 700.2482928715.

The spelling of 343365120 in words is "three hundred forty-three million, three hundred sixty-five thousand, one hundred twenty".