34127043040 has 192 divisors, whose sum is σ = 93771095040. Its totient is φ = 11642019840.

The previous prime is 34127043029. The next prime is 34127043043. The reversal of 34127043040 is 4034072143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127043043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174285 + ... + 1202995.

It is an arithmetic number, because the mean of its divisors is an integer number (488391120).

Almost surely, 2^34127043040 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 34127043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46885547520).

34127043040 is an abundant number, since it is smaller than the sum of its proper divisors (59644052000).

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

34127043040 is a wasteful number, since it uses less digits than its factorization.

34127043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28785 (or 28777 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 34127043040 in words is "thirty-four billion, one hundred twenty-seven million, forty-three thousand, forty".