834001923232 has 96 divisors (see below), whose sum is σ = 1805854538880. Its totient is φ = 377849472000.

The previous prime is 834001923211. The next prime is 834001923239. The reversal of 834001923232 is 232329100438.

It is a junction number, because it is equal to n+sod(n) for n = 834001923191 and 834001923200.

It is not an unprimeable number, because it can be changed into a prime (834001923239) 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 15 ways as a sum of consecutive naturals, for example, 762607 + ... + 1499857.

It is an arithmetic number, because the mean of its divisors is an integer number (18810984780).

Almost surely, 2^834001923232 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 834001923232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902927269440).

834001923232 is an abundant number, since it is smaller than the sum of its proper divisors (971852615648).

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

834001923232 is a wasteful number, since it uses less digits than its factorization.

834001923232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737366 (or 737358 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 834001923232 in words is "eight hundred thirty-four billion, one million, nine hundred twenty-three thousand, two hundred thirty-two".