834322944 has 320 divisors, whose sum is σ = 2815819776. Its totient is φ = 213663744.

The previous prime is 834322943. The next prime is 834323033. The reversal of 834322944 is 449223438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (834322943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6569409 + ... + 6569535.

Almost surely, 2^834322944 is an apocalyptic number.

834322944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407909888).

834322944 is an abundant number, since it is smaller than the sum of its proper divisors (1981496832).

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

834322944 is a wasteful number, since it uses less digits than its factorization.

834322944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 834322944 is about 28884.6489333002. The cubic root of 834322944 is about 941.4083852415.

The spelling of 834322944 in words is "eight hundred thirty-four million, three hundred twenty-two thousand, nine hundred forty-four".