342535578336 has 288 divisors, whose sum is σ = 1163773578240. Its totient is φ = 93440489472.

The previous prime is 342535578331. The next prime is 342535578347. The reversal of 342535578336 is 633875535243.

It is a happy number.

342535578336 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 3 + 557 + 83 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342535578331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26376901 + ... + 26389883.

It is an arithmetic number, because the mean of its divisors is an integer number (4040880480).

Almost surely, 2^342535578336 is an apocalyptic number.

342535578336 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 342535578336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581886789120).

342535578336 is an abundant number, since it is smaller than the sum of its proper divisors (821237999904).

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

342535578336 is a wasteful number, since it uses less digits than its factorization.

342535578336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13587 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 54.

The spelling of 342535578336 in words is "three hundred forty-two billion, five hundred thirty-five million, five hundred seventy-eight thousand, three hundred thirty-six".