343420560 has 400 divisors, whose sum is σ = 1395732096. Its totient is φ = 76640256.

The previous prime is 343420507. The next prime is 343420577. The reversal of 343420560 is 65024343.

343420560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3039064 + ... + 3039176.

Almost surely, 2^343420560 is an apocalyptic number.

343420560 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 343420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697866048).

343420560 is an abundant number, since it is smaller than the sum of its proper divisors (1052311536).

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

343420560 is a wasteful number, since it uses less digits than its factorization.

343420560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 343420560 is about 18531.6097519886. The cubic root of 343420560 is about 700.2859783884.

It can be divided in two parts, 343 and 420560, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 343420560 in words is "three hundred forty-three million, four hundred twenty thousand, five hundred sixty".