334343442304100 has 36 divisors (see below), whose sum is σ = 725528891749284. Its totient is φ = 133736709281280.

The previous prime is 334343442304019. The next prime is 334343442304111. The reversal of 334343442304100 is 1403244343433.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 494706849316 + 333848735454784 = 703354^2 + 18271528^2 .

It is a super-2 number, since 2×334343442304100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12033584 + ... + 28521816.

It is an arithmetic number, because the mean of its divisors is an integer number (20153580326369).

Almost surely, 2^{334343442304100} is an apocalyptic number.

It is an amenable number.

334343442304100 is an abundant number, since it is smaller than the sum of its proper divisors (391185449445184).

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

334343442304100 is a wasteful number, since it uses less digits than its factorization.

334343442304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691024 (or 16691017 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 334343442304100 its reverse (1403244343433), we get a palindrome (335746686647533).

The spelling of 334343442304100 in words is "three hundred thirty-four trillion, three hundred forty-three billion, four hundred forty-two million, three hundred four thousand, one hundred".