834396288 has 128 divisors (see below), whose sum is σ = 2430570240. Its totient is φ = 251520000.

The previous prime is 834396239. The next prime is 834396293. The reversal of 834396288 is 882693438.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 834396288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059831 + ... + 1060617.

It is an arithmetic number, because the mean of its divisors is an integer number (18988830).

Almost surely, 2^834396288 is an apocalyptic number.

834396288 is a gapful number since it is divisible by the number (88) 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 834396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215285120).

834396288 is an abundant number, since it is smaller than the sum of its proper divisors (1596173952).

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

834396288 is a wasteful number, since it uses less digits than its factorization.

834396288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1054 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 834396288 is about 28885.9185071204. The cubic root of 834396288 is about 941.4359703367.

The spelling of 834396288 in words is "eight hundred thirty-four million, three hundred ninety-six thousand, two hundred eighty-eight".