342134004304400 has 240 divisors, whose sum is σ = 1052499791713920. Its totient is φ = 103757030092800.

The previous prime is 342134004304321. The next prime is 342134004304409. The reversal of 342134004304400 is 4403400431243.

It is not an unprimeable number, because it can be changed into a prime (342134004304409) by changing a digit.

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, 148971845 + ... + 151251044.

It is an arithmetic number, because the mean of its divisors is an integer number (4385415798808).

Almost surely, 2^{342134004304400} is an apocalyptic number.

It is an amenable number.

342134004304400 is an abundant number, since it is smaller than the sum of its proper divisors (710365787409520).

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

342134004304400 is a wasteful number, since it uses less digits than its factorization.

342134004304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300222962 (or 300222951 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 342134004304400 its reverse (4403400431243), we get a palindrome (346537404735643).

The spelling of 342134004304400 in words is "three hundred forty-two trillion, one hundred thirty-four billion, four million, three hundred four thousand, four hundred".