343726560 has 144 divisors (see below), whose sum is σ = 1213561440. Its totient is φ = 88488960.

The previous prime is 343726529. The next prime is 343726601. The reversal of 343726560 is 65627343.

343726560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 37645 + ... + 45875.

It is an arithmetic number, because the mean of its divisors is an integer number (8427510).

Almost surely, 2^343726560 is an apocalyptic number.

343726560 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 343726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606780720).

343726560 is an abundant number, since it is smaller than the sum of its proper divisors (869834880).

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

343726560 is a wasteful number, since it uses less digits than its factorization.

343726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 343726560 is about 18539.8640771717. The cubic root of 343726560 is about 700.4939099257.

The spelling of 343726560 in words is "three hundred forty-three million, seven hundred twenty-six thousand, five hundred sixty".