343054656 has 224 divisors, whose sum is σ = 1170432000. Its totient is φ = 96505344.

The previous prime is 343054627. The next prime is 343054661. The reversal of 343054656 is 656450343.

343054656 is a `hidden beast` number, since 34 + 30 + 546 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 343054656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955405 + ... + 955763.

Almost surely, 2^343054656 is an apocalyptic number.

343054656 is a gapful number since it is divisible by the number (36) 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 343054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216000).

343054656 is an abundant number, since it is smaller than the sum of its proper divisors (827377344).

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

343054656 is a wasteful number, since it uses less digits than its factorization.

343054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 343054656 is about 18521.7346919774. The cubic root of 343054656 is about 700.0371789777.

The spelling of 343054656 in words is "three hundred forty-three million, fifty-four thousand, six hundred fifty-six".