342262441024 has 189 divisors, whose sum is σ = 818800763589. Its totient is φ = 141530941440.

The previous prime is 342262441013. The next prime is 342262441061. The reversal of 342262441024 is 420144262243.

The square root of 342262441024 is 585032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 92294440000 + 249968001024 = 303800^2 + 499968^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1015615384 + ... + 1015615720.

Almost surely, 2^342262441024 is an apocalyptic number.

342262441024 is the 585032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342262441024

342262441024 is an abundant number, since it is smaller than the sum of its proper divisors (476538322565).

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

342262441024 is an frugal number, since it uses more digits than its factorization.

342262441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The spelling of 342262441024 in words is "three hundred forty-two billion, two hundred sixty-two million, four hundred forty-one thousand, twenty-four".