34011241133312 has 288 divisors, whose sum is σ = 75017416320000. Its totient is φ = 15319292313600.

The previous prime is 34011241133291. The next prime is 34011241133327. The reversal of 34011241133312 is 21333114211043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9720272939 + ... + 9720276437.

It is an arithmetic number, because the mean of its divisors is an integer number (260477140000).

Almost surely, 2^{34011241133312} is an apocalyptic number.

34011241133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34011241133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37508708160000).

34011241133312 is an abundant number, since it is smaller than the sum of its proper divisors (41006175186688).

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

34011241133312 is a wasteful number, since it uses less digits than its factorization.

34011241133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 34011241133312 its reverse (21333114211043), we get a palindrome (55344355344355).

The spelling of 34011241133312 in words is "thirty-four trillion, eleven billion, two hundred forty-one million, one hundred thirty-three thousand, three hundred twelve".