342585936 has 200 divisors, whose sum is σ = 1236569664. Its totient is φ = 88957440.

The previous prime is 342585911. The next prime is 342585959. The reversal of 342585936 is 639585243.

342585936 is a `hidden beast` number, since 3 + 4 + 2 + 58 + 593 + 6 = 666.

Its product of digits (777600) is a multiple of the sum of its prime divisors (3456).

It is a junction number, because it is equal to n+sod(n) for n = 342585891 and 342585900.

It is a congruent number.

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, 98076 + ... + 101508.

Almost surely, 2^342585936 is an apocalyptic number.

342585936 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 342585936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618284832).

342585936 is an abundant number, since it is smaller than the sum of its proper divisors (893983728).

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

342585936 is a wasteful number, since it uses less digits than its factorization.

342585936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3456 counting only the distinct ones).

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

The square root of 342585936 is about 18509.0771244814. The cubic root of 342585936 is about 699.7182103885.

The spelling of 342585936 in words is "three hundred forty-two million, five hundred eighty-five thousand, nine hundred thirty-six".