34412734944 has 576 divisors, whose sum is σ = 123500482560. Its totient is φ = 8868372480.

The previous prime is 34412734943. The next prime is 34412734981. The reversal of 34412734944 is 44943721443.

34412734944 is a `hidden beast` number, since 34 + 4 + 127 + 3 + 494 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34412734944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412734943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86681754 + ... + 86682150.

It is an arithmetic number, because the mean of its divisors is an integer number (214410560).

Almost surely, 2^34412734944 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 34412734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61750241280).

34412734944 is an abundant number, since it is smaller than the sum of its proper divisors (89087747616).

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

34412734944 is a wasteful number, since it uses less digits than its factorization.

34412734944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 34412734944 in words is "thirty-four billion, four hundred twelve million, seven hundred thirty-four thousand, nine hundred forty-four".