34010334113112 has 144 divisors (see below), whose sum is σ = 107153760027600. Its totient is φ = 9716888684160.

The previous prime is 34010334113083. The next prime is 34010334113117. The reversal of 34010334113112 is 21131143301043.

34010334113112 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 0 + 3 + 341 + 1 + 311 + 2 = 666.

It is a super-2 number, since 2×34010334113112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010334113117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107336437 + ... + 107652827.

It is an arithmetic number, because the mean of its divisors is an integer number (744123333525).

Almost surely, 2^{34010334113112} is an apocalyptic number.

It is an amenable number.

34010334113112 is an abundant number, since it is smaller than the sum of its proper divisors (73143425914488).

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

34010334113112 is a wasteful number, since it uses less digits than its factorization.

34010334113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346886 (or 346872 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 34010334113112 its reverse (21131143301043), we get a palindrome (55141477414155).

The spelling of 34010334113112 in words is "thirty-four trillion, ten billion, three hundred thirty-four million, one hundred thirteen thousand, one hundred twelve".