329868288000 has 1120 divisors, whose sum is σ = 1272854510928. Its totient is φ = 84934656000.

The previous prime is 329868287999. The next prime is 329868288007. The reversal of 329868288000 is 882868923.

It can be written as a sum of positive squares in 8 ways, for example, as 5351215104 + 324517072896 = 73152^2 + 569664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (329868288007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3400703952 + ... + 3400704048.

Almost surely, 2^329868288000 is an apocalyptic number.

329868288000 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 329868288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636427255464).

329868288000 is an abundant number, since it is smaller than the sum of its proper divisors (942986222928).

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

329868288000 is an frugal number, since it uses more digits than its factorization.

329868288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 329868288000 in words is "three hundred twenty-nine billion, eight hundred sixty-eight million, two hundred eighty-eight thousand".