329181444 has 36 divisors (see below), whose sum is σ = 832877500. Its totient is φ = 109624320.

The previous prime is 329181443. The next prime is 329181449. The reversal of 329181444 is 444181923.

It is a happy number.

329181444 is a `hidden beast` number, since 32 + 9 + 181 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39841344 + 289340100 = 6312^2 + 17010^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 329181399 and 329181408.

It is not an unprimeable number, because it can be changed into a prime (329181443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41304 + ... + 48624.

Almost surely, 2^329181444 is an apocalyptic number.

It is an amenable number.

329181444 is an abundant number, since it is smaller than the sum of its proper divisors (503696056).

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

329181444 is a wasteful number, since it uses less digits than its factorization.

329181444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8575 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 329181444 is about 18143.3581235669. The cubic root of 329181444 is about 690.4704793808.

The spelling of 329181444 in words is "three hundred twenty-nine million, one hundred eighty-one thousand, four hundred forty-four".