342351044200 has 192 divisors, whose sum is σ = 883825395840. Its totient is φ = 122275200000.

The previous prime is 342351044149. The next prime is 342351044249. The reversal of 342351044200 is 2440153243.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 126280845 + ... + 126283555.

It is an arithmetic number, because the mean of its divisors is an integer number (4603257270).

Almost surely, 2^342351044200 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 342351044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441912697920).

342351044200 is an abundant number, since it is smaller than the sum of its proper divisors (541474351640).

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

342351044200 is a wasteful number, since it uses less digits than its factorization.

342351044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 342351044200 its reverse (2440153243), we get a palindrome (344791197443).

The spelling of 342351044200 in words is "three hundred forty-two billion, three hundred fifty-one million, forty-four thousand, two hundred".