34754329358064 has 200 divisors, whose sum is σ = 101448023994240. Its totient is φ = 11486195943552.

The previous prime is 34754329358041. The next prime is 34754329358083. The reversal of 34754329358064 is 46085392345743.

34754329358064 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 43 + 2 + 9 + 3 + 580 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34754329357992 and 34754329358010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88316589 + ... + 88709235.

Almost surely, 2^{34754329358064} 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 34754329358064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50724011997120).

34754329358064 is an abundant number, since it is smaller than the sum of its proper divisors (66693694636176).

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

34754329358064 is a wasteful number, since it uses less digits than its factorization.

34754329358064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393249 (or 393234 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 34754329358064 in words is "thirty-four trillion, seven hundred fifty-four billion, three hundred twenty-nine million, three hundred fifty-eight thousand, sixty-four".