343768320 has 576 divisors, whose sum is σ = 1471680000. Its totient is φ = 75866112.

The previous prime is 343768309. The next prime is 343768333. The reversal of 343768320 is 23867343.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11854066 + ... + 11854094.

It is an arithmetic number, because the mean of its divisors is an integer number (2555000).

Almost surely, 2^343768320 is an apocalyptic number.

343768320 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 343768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840000).

343768320 is an abundant number, since it is smaller than the sum of its proper divisors (1127911680).

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

343768320 is an equidigital number, since it uses as much as digits as its factorization.

343768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 343768320 is about 18540.9902648160. The cubic root of 343768320 is about 700.5222768938.

The spelling of 343768320 in words is "three hundred forty-three million, seven hundred sixty-eight thousand, three hundred twenty".