834252832000 has 864 divisors, whose sum is σ = 2584328947200. Its totient is φ = 268180684800.

The previous prime is 834252831989. The next prime is 834252832013. The reversal of 834252832000 is 238252438.

834252832000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3172063869 + ... + 3172064131.

Almost surely, 2^834252832000 is an apocalyptic number.

834252832000 is a gapful number since it is divisible by the number (80) 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 834252832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292164473600).

834252832000 is an abundant number, since it is smaller than the sum of its proper divisors (1750076115200).

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

834252832000 is an equidigital number, since it uses as much as digits as its factorization.

834252832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 834252832000 in words is "eight hundred thirty-four billion, two hundred fifty-two million, eight hundred thirty-two thousand".