34341124030312 has 128 divisors (see below), whose sum is σ = 73598160384000. Its totient is φ = 14869675180800.

The previous prime is 34341124030277. The next prime is 34341124030333. The reversal of 34341124030312 is 21303042114343.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480400698 + ... + 1480423894.

It is an arithmetic number, because the mean of its divisors is an integer number (574985628000).

Almost surely, 2^{34341124030312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34341124030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36799080192000).

34341124030312 is an abundant number, since it is smaller than the sum of its proper divisors (39257036353688).

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

34341124030312 is a wasteful number, since it uses less digits than its factorization.

34341124030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26207 (or 26203 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 34341124030312 its reverse (21303042114343), we get a palindrome (55644166144655).

It can be divided in two parts, 3434112 and 4030312, that multiplied together give a square (13840542802944 = 3720288²).

The spelling of 34341124030312 in words is "thirty-four trillion, three hundred forty-one billion, one hundred twenty-four million, thirty thousand, three hundred twelve".