34286441561568 has 384 divisors, whose sum is σ = 120356337024000. Its totient is φ = 9276449495040.

The previous prime is 34286441561527. The next prime is 34286441561623. The reversal of 34286441561568 is 86516514468243.

34286441561568 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 6 + 4 + 4 + 1 + 5 + 61 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265267198 + ... + 265396418.

It is an arithmetic number, because the mean of its divisors is an integer number (313427961000).

Almost surely, 2^{34286441561568} is an apocalyptic number.

34286441561568 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 34286441561568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60178168512000).

34286441561568 is an abundant number, since it is smaller than the sum of its proper divisors (86069895462432).

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

34286441561568 is a wasteful number, since it uses less digits than its factorization.

34286441561568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131575 (or 131561 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 34286441561568 in words is "thirty-four trillion, two hundred eighty-six billion, four hundred forty-one million, five hundred sixty-one thousand, five hundred sixty-eight".