343906560 has 360 divisors, whose sum is σ = 1282127616. Its totient is φ = 87920640.

The previous prime is 343906553. The next prime is 343906609. The reversal of 343906560 is 65609343.

343906560 is a `hidden beast` number, since 3 + 4 + 3 + 90 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×343906560² = 236543444022067200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

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 39 ways as a sum of consecutive naturals, for example, 3214027 + ... + 3214133.

Almost surely, 2^343906560 is an apocalyptic number.

343906560 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 343906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641063808).

343906560 is an abundant number, since it is smaller than the sum of its proper divisors (938221056).

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

343906560 is a wasteful number, since it uses less digits than its factorization.

343906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 343906560 is about 18544.7178463303. The cubic root of 343906560 is about 700.6161649535.

The spelling of 343906560 in words is "three hundred forty-three million, nine hundred six thousand, five hundred sixty".