326840832000 has 1248 divisors, whose sum is σ = 1272562147584. Its totient is φ = 83607552000.

The previous prime is 326840831953. The next prime is 326840832001. The reversal of 326840832000 is 238048623.

326840832000 is a `hidden beast` number, since 326 + 8 + 4 + 0 + 8 + 320 + 0 + 0 = 666.

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 (326840832001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4603391965 + ... + 4603392035.

It is an arithmetic number, because the mean of its divisors is an integer number (1019681208).

Almost surely, 2^326840832000 is an apocalyptic number.

326840832000 is a gapful number since it is divisible by the number (30) 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 326840832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636281073792).

326840832000 is an abundant number, since it is smaller than the sum of its proper divisors (945721315584).

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

326840832000 is an frugal number, since it uses more digits than its factorization.

326840832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 118 counting only the distinct ones).

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

The spelling of 326840832000 in words is "three hundred twenty-six billion, eight hundred forty million, eight hundred thirty-two thousand".