34352650664640 has 4032 divisors, whose sum is σ = 159735565516800. Its totient is φ = 6759670579200.

The previous prime is 34352650664593. The next prime is 34352650664659. The reversal of 34352650664640 is 4646605625343.

34352650664640 is a `hidden beast` number, since 3 + 4 + 3 + 52 + 6 + 506 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 270493312257 + ... + 270493312383.

Almost surely, 2^{34352650664640} is an apocalyptic number.

34352650664640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34352650664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79867782758400).

34352650664640 is an abundant number, since it is smaller than the sum of its proper divisors (125382914852160).

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

34352650664640 is a wasteful number, since it uses less digits than its factorization.

34352650664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 34352650664640 in words is "thirty-four trillion, three hundred fifty-two billion, six hundred fifty million, six hundred sixty-four thousand, six hundred forty".