34315251344 has 80 divisors (see below), whose sum is σ = 74130463680. Its totient is φ = 15256512000.

The previous prime is 34315251301. The next prime is 34315251367. The reversal of 34315251344 is 44315251343.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1934387 + ... + 1952045.

It is an arithmetic number, because the mean of its divisors is an integer number (926630796).

Almost surely, 2^34315251344 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 34315251344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065231840).

34315251344 is an abundant number, since it is smaller than the sum of its proper divisors (39815212336).

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

34315251344 is a wasteful number, since it uses less digits than its factorization.

34315251344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17920 (or 17914 counting only the distinct ones).

The product of its digits is 86400, while the sum is 35.

Subtracting 34315251344 from its reverse (44315251343), we obtain a palindrome (9999999999).

The spelling of 34315251344 in words is "thirty-four billion, three hundred fifteen million, two hundred fifty-one thousand, three hundred forty-four".