343942560 has 288 divisors, whose sum is σ = 1331890560. Its totient is φ = 80123904.

The previous prime is 343942559. The next prime is 343942561. The reversal of 343942560 is 65249343.

343942560 is a `hidden beast` number, since 3 + 4 + 3 + 94 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (343942559) and next prime (343942561).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343942561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355197 + ... + 356163.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2^343942560 is an apocalyptic number.

343942560 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 343942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665945280).

343942560 is an abundant number, since it is smaller than the sum of its proper divisors (987948000).

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

343942560 is a wasteful number, since it uses less digits than its factorization.

343942560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 343942560 is about 18545.6884477228. The cubic root of 343942560 is about 700.6406108397.

The spelling of 343942560 in words is "three hundred forty-three million, nine hundred forty-two thousand, five hundred sixty".