34091982332928 has 396 divisors, whose sum is σ = 107233749762048. Its totient is φ = 10426947747840.

The previous prime is 34091982332873. The next prime is 34091982332953. The reversal of 34091982332928 is 82923328919043.

34091982332928 is a `hidden beast` number, since 3 + 40 + 91 + 98 + 2 + 332 + 92 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260037633 + ... + 260168703.

Almost surely, 2^{34091982332928} 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 34091982332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53616874881024).

34091982332928 is an abundant number, since it is smaller than the sum of its proper divisors (73141767429120).

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

34091982332928 is a wasteful number, since it uses less digits than its factorization.

34091982332928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131290 (or 131256 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 34091982332928 in words is "thirty-four trillion, ninety-one billion, nine hundred eighty-two million, three hundred thirty-two thousand, nine hundred twenty-eight".