34012351344 has 160 divisors (see below), whose sum is σ = 91734128640. Its totient is φ = 10847462400.

The previous prime is 34012351327. The next prime is 34012351349. The reversal of 34012351344 is 44315321043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012351349) 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, 73779274 + ... + 73779734.

It is an arithmetic number, because the mean of its divisors is an integer number (573338304).

Almost surely, 2^34012351344 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 34012351344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45867064320).

34012351344 is an abundant number, since it is smaller than the sum of its proper divisors (57721777296).

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

34012351344 is a wasteful number, since it uses less digits than its factorization.

34012351344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34012351344 its reverse (44315321043), we get a palindrome (78327672387).

The spelling of 34012351344 in words is "thirty-four billion, twelve million, three hundred fifty-one thousand, three hundred forty-four".