34144665792 has 112 divisors (see below), whose sum is σ = 94082445312. Its totient is φ = 10916720640.

The previous prime is 34144665713. The next prime is 34144665829. The reversal of 34144665792 is 29756644143.

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, 647193 + ... + 697959.

Almost surely, 2^34144665792 is an apocalyptic number.

34144665792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47041222656).

34144665792 is an abundant number, since it is smaller than the sum of its proper divisors (59937779520).

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

34144665792 is a wasteful number, since it uses less digits than its factorization.

34144665792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50926 (or 50916 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 34144665792 in words is "thirty-four billion, one hundred forty-four million, six hundred sixty-five thousand, seven hundred ninety-two".