343089648 has 320 divisors, whose sum is σ = 1182781440. Its totient is φ = 94003200.

The previous prime is 343089623. The next prime is 343089701. The reversal of 343089648 is 846980343.

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 63 ways as a sum of consecutive naturals, for example, 2504236 + ... + 2504372.

It is an arithmetic number, because the mean of its divisors is an integer number (3696192).

Almost surely, 2^343089648 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 343089648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591390720).

343089648 is an abundant number, since it is smaller than the sum of its proper divisors (839691792).

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

343089648 is a wasteful number, since it uses less digits than its factorization.

343089648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 343089648 is about 18522.6792878352. The cubic root of 343089648 is about 700.0609797217.

It can be divided in two parts, 34308 and 9648, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 343089648 in words is "three hundred forty-three million, eighty-nine thousand, six hundred forty-eight".