34110444103340 has 768 divisors, whose sum is σ = 85676490547200. Its totient is φ = 11291664384000.

The previous prime is 34110444103339. The next prime is 34110444103343. The reversal of 34110444103340 is 4330144401143.

It is a junction number, because it is equal to n+sod(n) for n = 34110444103297 and 34110444103306.

It is not an unprimeable number, because it can be changed into a prime (34110444103343) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 248981343752 + ... + 248981343888.

It is an arithmetic number, because the mean of its divisors is an integer number (111557930400).

Almost surely, 2^{34110444103340} 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 34110444103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42838245273600).

34110444103340 is an abundant number, since it is smaller than the sum of its proper divisors (51566046443860).

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

34110444103340 is a wasteful number, since it uses less digits than its factorization.

34110444103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34110444103340 its reverse (4330144401143), we get a palindrome (38440588504483).

It can be divided in two parts, 341104 and 44103340, that added together give a palindrome (44444444).

The spelling of 34110444103340 in words is "thirty-four trillion, one hundred ten billion, four hundred forty-four million, one hundred three thousand, three hundred forty".