34040125728 has 288 divisors, whose sum is σ = 113355994752. Its totient is φ = 9488793600.

The previous prime is 34040125723. The next prime is 34040125739. The reversal of 34040125728 is 82752104043.

It is a happy number.

34040125728 is a `hidden beast` number, since 3 + 40 + 40 + 1 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 34040125692 and 34040125701.

It is not an unprimeable number, because it can be changed into a prime (34040125723) 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, 16108800 + ... + 16110912.

It is an arithmetic number, because the mean of its divisors is an integer number (393597204).

Almost surely, 2^34040125728 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 34040125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56677997376).

34040125728 is an abundant number, since it is smaller than the sum of its proper divisors (79315869024).

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

34040125728 is a wasteful number, since it uses less digits than its factorization.

34040125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 34040125728 in words is "thirty-four billion, forty million, one hundred twenty-five thousand, seven hundred twenty-eight".