34239127104 has 336 divisors, whose sum is σ = 123262339200. Its totient is φ = 9029422080.

The previous prime is 34239127103. The next prime is 34239127127. The reversal of 34239127104 is 40172193243.

It is a happy number.

34239127104 is a `hidden beast` number, since 3 + 423 + 9 + 127 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×34239127104³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34239127103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561719 + ... + 2575049.

It is an arithmetic number, because the mean of its divisors is an integer number (366852200).

Almost surely, 2^34239127104 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 34239127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61631169600).

34239127104 is an abundant number, since it is smaller than the sum of its proper divisors (89023212096).

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

34239127104 is a wasteful number, since it uses less digits than its factorization.

34239127104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13383 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 34239127104 in words is "thirty-four billion, two hundred thirty-nine million, one hundred twenty-seven thousand, one hundred four".