34942045824 has 288 divisors, whose sum is σ = 118724205600. Its totient is φ = 9833370624.

The previous prime is 34942045823. The next prime is 34942045849. The reversal of 34942045824 is 42854024943.

34942045824 is a `hidden beast` number, since 3 + 49 + 4 + 20 + 4 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 34942045824.

It is not an unprimeable number, because it can be changed into a prime (34942045823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3777397 + ... + 3786635.

It is an arithmetic number, because the mean of its divisors is an integer number (412236825).

Almost surely, 2^34942045824 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 34942045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59362102800).

34942045824 is an abundant number, since it is smaller than the sum of its proper divisors (83782159776).

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

34942045824 is a wasteful number, since it uses less digits than its factorization.

34942045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34942045824 in words is "thirty-four billion, nine hundred forty-two million, forty-five thousand, eight hundred twenty-four".