34661826355968 has 216 divisors, whose sum is σ = 115824205276416. Its totient is φ = 9763894425600.

The previous prime is 34661826355951. The next prime is 34661826355987. The reversal of 34661826355968 is 86955362816643.

34661826355968 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 1 + 8 + 2 + 6 + 3 + 559 + 68 = 666.

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 = 34661826355896 and 34661826355905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13989918 + ... + 16280093.

It is an arithmetic number, because the mean of its divisors is an integer number (536223172576).

Almost surely, 2^{34661826355968} is an apocalyptic number.

It is an amenable number.

34661826355968 is an abundant number, since it is smaller than the sum of its proper divisors (81162378920448).

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

34661826355968 is a wasteful number, since it uses less digits than its factorization.

34661826355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30270111 (or 30270094 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 34661826355968 in words is "thirty-four trillion, six hundred sixty-one billion, eight hundred twenty-six million, three hundred fifty-five thousand, nine hundred sixty-eight".