34231002728 has 96 divisors (see below), whose sum is σ = 71719603200. Its totient is φ = 15302087424.

The previous prime is 34231002727. The next prime is 34231002731. The reversal of 34231002728 is 82720013243.

It is a junction number, because it is equal to n+sod(n) for n = 34231002694 and 34231002703.

It is not an unprimeable number, because it can be changed into a prime (34231002721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5657801 + ... + 5663847.

It is an arithmetic number, because the mean of its divisors is an integer number (747079200).

Almost surely, 2^34231002728 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 34231002728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35859801600).

34231002728 is an abundant number, since it is smaller than the sum of its proper divisors (37488600472).

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

34231002728 is a wasteful number, since it uses less digits than its factorization.

34231002728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 34231002728 in words is "thirty-four billion, two hundred thirty-one million, two thousand, seven hundred twenty-eight".