34109941824 has 672 divisors, whose sum is σ = 124159426560. Its totient is φ = 8734003200.

The previous prime is 34109941769. The next prime is 34109941829. The reversal of 34109941824 is 42814990143.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 34109941824.

It is not an unprimeable number, because it can be changed into a prime (34109941829) 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, 125866809 + ... + 125867079.

Almost surely, 2^34109941824 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 34109941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62079713280).

34109941824 is an abundant number, since it is smaller than the sum of its proper divisors (90049484736).

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

34109941824 is a wasteful number, since it uses less digits than its factorization.

34109941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 34109941824 in words is "thirty-four billion, one hundred nine million, nine hundred forty-one thousand, eight hundred twenty-four".