342593856 has 168 divisors, whose sum is σ = 1081735200. Its totient is φ = 102804480.

The previous prime is 342593851. The next prime is 342593861. The reversal of 342593856 is 658395243.

342593856 is a `hidden beast` number, since 3 + 4 + 2 + 593 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (342593851) and next prime (342593861).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342593851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 880510 + ... + 880898.

It is an arithmetic number, because the mean of its divisors is an integer number (6438900).

Almost surely, 2^342593856 is an apocalyptic number.

342593856 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 342593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540867600).

342593856 is an abundant number, since it is smaller than the sum of its proper divisors (739141344).

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

342593856 is a wasteful number, since it uses less digits than its factorization.

342593856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 342593856 is about 18509.2910723237. The cubic root of 342593856 is about 699.7236024424.

The spelling of 342593856 in words is "three hundred forty-two million, five hundred ninety-three thousand, eight hundred fifty-six".