329391144 has 128 divisors (see below), whose sum is σ = 975744000. Its totient is φ = 102658752.

The previous prime is 329391143. The next prime is 329391157. The reversal of 329391144 is 441193923.

329391144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 329391099 and 329391108.

It is not an unprimeable number, because it can be changed into a prime (329391143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340149 + ... + 341115.

It is an arithmetic number, because the mean of its divisors is an integer number (7623000).

Almost surely, 2^329391144 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 329391144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872000).

329391144 is an abundant number, since it is smaller than the sum of its proper divisors (646352856).

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

329391144 is a wasteful number, since it uses less digits than its factorization.

329391144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 329391144 is about 18149.1361777909. The cubic root of 329391144 is about 690.6170661415.

The spelling of 329391144 in words is "three hundred twenty-nine million, three hundred ninety-one thousand, one hundred forty-four".