342506547252 has 288 divisors, whose sum is σ = 978259306752. Its totient is φ = 104374573056.

The previous prime is 342506547241. The next prime is 342506547293. The reversal of 342506547252 is 252745605243.

342506547252 is a `hidden beast` number, since 3 + 4 + 2 + 50 + 6 + 547 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 342506547198 and 342506547207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90202618 + ... + 90206414.

It is an arithmetic number, because the mean of its divisors is an integer number (3396733704).

Almost surely, 2^342506547252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342506547252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489129653376).

342506547252 is an abundant number, since it is smaller than the sum of its proper divisors (635752759500).

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

342506547252 is a wasteful number, since it uses less digits than its factorization.

342506547252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 342506547252 in words is "three hundred forty-two billion, five hundred six million, five hundred forty-seven thousand, two hundred fifty-two".