34436645909568 has 1344 divisors, whose sum is σ = 131674653388800. Its totient is φ = 8770501877760.

The previous prime is 34436645909461. The next prime is 34436645909579. The reversal of 34436645909568 is 86590954663443.

34436645909568 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 6 + 6 + 4 + 59 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34436645909496 and 34436645909505.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9380724373 + ... + 9380728043.

Almost surely, 2^{34436645909568} is an apocalyptic number.

34436645909568 is a gapful number since it is divisible by the number (38) 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 34436645909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65837326694400).

34436645909568 is an abundant number, since it is smaller than the sum of its proper divisors (97238007479232).

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

34436645909568 is an equidigital number, since it uses as much as digits as its factorization.

34436645909568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 72.

The spelling of 34436645909568 in words is "thirty-four trillion, four hundred thirty-six billion, six hundred forty-five million, nine hundred nine thousand, five hundred sixty-eight".