343904064 has 168 divisors, whose sum is σ = 1078918848. Its totient is φ = 94648320.

The previous prime is 343904063. The next prime is 343904081. The reversal of 343904064 is 460409343.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343904063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4353177 + ... + 4353255.

It is an arithmetic number, because the mean of its divisors is an integer number (6422136).

Almost surely, 2^343904064 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 343904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539459424).

343904064 is an abundant number, since it is smaller than the sum of its proper divisors (735014784).

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

343904064 is an equidigital number, since it uses as much as digits as its factorization.

343904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 343904064 is about 18544.6505494172. The cubic root of 343904064 is about 700.6144699755.

The spelling of 343904064 in words is "three hundred forty-three million, nine hundred four thousand, sixty-four".