34040400322068 has 120 divisors (see below), whose sum is σ = 101733123868992. Its totient is φ = 9722751739776.

The previous prime is 34040400322067. The next prime is 34040400322073. The reversal of 34040400322068 is 86022300404043.

34040400322068 is a `hidden beast` number, since 3 + 4 + 0 + 40 + 400 + 3 + 2 + 206 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040400322067) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4801096 + ... + 9546272.

Almost surely, 2^{34040400322068} 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 34040400322068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866561934496).

34040400322068 is an abundant number, since it is smaller than the sum of its proper divisors (67692723546924).

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

34040400322068 is a wasteful number, since it uses less digits than its factorization.

34040400322068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748363 (or 4748352 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34040400322068 in words is "thirty-four trillion, forty billion, four hundred million, three hundred twenty-two thousand, sixty-eight".