34324314431121 has 192 divisors, whose sum is σ = 62987091148800. Its totient is φ = 17715025036800.

The previous prime is 34324314431101. The next prime is 34324314431123. The reversal of 34324314431121 is 12113441342343.

34324314431121 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 4 + 314 + 4 + 311 + 21 = 666.

It is not a de Polignac number, because 34324314431121 - 2⁵ = 34324314431089 is a prime.

It is a super-2 number, since 2×34324314431121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34324314431123) 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 191 ways as a sum of consecutive naturals, for example, 91216266 + ... + 91591788.

It is an arithmetic number, because the mean of its divisors is an integer number (328057766400).

Almost surely, 2^{34324314431121} is an apocalyptic number.

34324314431121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34324314431121 is a deficient number, since it is larger than the sum of its proper divisors (28662776717679).

34324314431121 is a wasteful number, since it uses less digits than its factorization.

34324314431121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375692 (or 375689 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 34324314431121 its reverse (12113441342343), we get a palindrome (46437755773464).

The spelling of 34324314431121 in words is "thirty-four trillion, three hundred twenty-four billion, three hundred fourteen million, four hundred thirty-one thousand, one hundred twenty-one".