34236389308968 has 1152 divisors, whose sum is σ = 123131977113600. Its totient is φ = 8488261555200.

The previous prime is 34236389308967. The next prime is 34236389308993. The reversal of 34236389308968 is 86980398363243.

34236389308968 is a `hidden beast` number, since 3 + 4 + 236 + 3 + 89 + 308 + 9 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 5851187²-1.

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 = 34236389308896 and 34236389308905.

It is not an unprimeable number, because it can be changed into a prime (34236389308967) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 40806184693 + ... + 40806185531.

It is an arithmetic number, because the mean of its divisors is an integer number (106885396800).

Almost surely, 2^{34236389308968} 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 34236389308968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61565988556800).

34236389308968 is an abundant number, since it is smaller than the sum of its proper divisors (88895587804632).

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

34236389308968 is a wasteful number, since it uses less digits than its factorization.

34236389308968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 34236389308968 in words is "thirty-four trillion, two hundred thirty-six billion, three hundred eighty-nine million, three hundred eight thousand, nine hundred sixty-eight".