34101121344 has 224 divisors, whose sum is σ = 95370213120. Its totient is φ = 10738925568.

The previous prime is 34101121343. The next prime is 34101121357. The reversal of 34101121344 is 44312110143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101121343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55629582 + ... + 55630194.

It is an arithmetic number, because the mean of its divisors is an integer number (425759880).

Almost surely, 2^34101121344 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 34101121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47685106560).

34101121344 is an abundant number, since it is smaller than the sum of its proper divisors (61269091776).

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

34101121344 is a wasteful number, since it uses less digits than its factorization.

34101121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34101121344 its reverse (44312110143), we get a palindrome (78413231487).

The spelling of 34101121344 in words is "thirty-four billion, one hundred one million, one hundred twenty-one thousand, three hundred forty-four".