834268032 has 256 divisors, whose sum is σ = 2741760000. Its totient is φ = 248002560.

The previous prime is 834268031. The next prime is 834268037. The reversal of 834268032 is 230862438.

834268032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834268031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392469 + ... + 1393067.

It is an arithmetic number, because the mean of its divisors is an integer number (10710000).

Almost surely, 2^834268032 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 834268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880000).

834268032 is an abundant number, since it is smaller than the sum of its proper divisors (1907491968).

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

834268032 is a wasteful number, since it uses less digits than its factorization.

834268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 834268032 is about 28883.6983781510. The cubic root of 834268032 is about 941.3877314680.

The spelling of 834268032 in words is "eight hundred thirty-four million, two hundred sixty-eight thousand, thirty-two".