34042934772 has 192 divisors, whose sum is σ = 112115404800. Its totient is φ = 8675372160.

The previous prime is 34042934743. The next prime is 34042934789. The reversal of 34042934772 is 27743924043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402129 + ... + 479367.

It is an arithmetic number, because the mean of its divisors is an integer number (583934400).

Almost surely, 2^34042934772 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 34042934772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56057702400).

34042934772 is an abundant number, since it is smaller than the sum of its proper divisors (78072470028).

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

34042934772 is a wasteful number, since it uses less digits than its factorization.

34042934772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77323 (or 77315 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 34042934772 in words is "thirty-four billion, forty-two million, nine hundred thirty-four thousand, seven hundred seventy-two".