34468831744 has 60 divisors (see below), whose sum is σ = 69472148922. Its totient is φ = 17084211200.

The previous prime is 34468831693. The next prime is 34468831751. The reversal of 34468831744 is 44713886443.

It can be written as a sum of positive squares in 3 ways, for example, as 34358329600 + 110502144 = 185360^2 + 10512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34468831691 and 34468831700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49170594 + ... + 49171294.

Almost surely, 2^34468831744 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 34468831744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34736074461).

34468831744 is an abundant number, since it is smaller than the sum of its proper divisors (35003317178).

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

34468831744 is an frugal number, since it uses more digits than its factorization.

34468831744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 840 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 52.

The spelling of 34468831744 in words is "thirty-four billion, four hundred sixty-eight million, eight hundred thirty-one thousand, seven hundred forty-four".