343039840 has 288 divisors, whose sum is σ = 1013523840. Its totient is φ = 108810240.

The previous prime is 343039777. The next prime is 343039891. The reversal of 343039840 is 48930343.

It is a junction number, because it is equal to n+sod(n) for n = 343039796 and 343039805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7298697 + ... + 7298743.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^343039840 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 343039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

343039840 is an abundant number, since it is smaller than the sum of its proper divisors (670484000).

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

343039840 is a wasteful number, since it uses less digits than its factorization.

343039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 343039840 is about 18521.3347251217. The cubic root of 343039840 is about 700.0271009916.

The spelling of 343039840 in words is "three hundred forty-three million, thirty-nine thousand, eight hundred forty".