34066141368 has 128 divisors (see below), whose sum is σ = 98828190720. Its totient is φ = 9583902720.

The previous prime is 34066141367. The next prime is 34066141379. The reversal of 34066141368 is 86314166043.

It is a super-2 number, since 2×34066141368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066141367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13751746 + ... + 13754222.

It is an arithmetic number, because the mean of its divisors is an integer number (772095240).

Almost surely, 2^34066141368 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 34066141368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49414095360).

34066141368 is an abundant number, since it is smaller than the sum of its proper divisors (64762049352).

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

34066141368 is a wasteful number, since it uses less digits than its factorization.

34066141368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 34066141368 in words is "thirty-four billion, sixty-six million, one hundred forty-one thousand, three hundred sixty-eight".