329540544 has 168 divisors, whose sum is σ = 980218512. Its totient is φ = 105799680.

The previous prime is 329540539. The next prime is 329540551. The reversal of 329540544 is 445045923.

It is a happy number.

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 = 329540499 and 329540508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2916232 + ... + 2916344.

It is an arithmetic number, because the mean of its divisors is an integer number (5834634).

Almost surely, 2^329540544 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 329540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490109256).

329540544 is an abundant number, since it is smaller than the sum of its proper divisors (650677968).

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

329540544 is a wasteful number, since it uses less digits than its factorization.

329540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 329540544 is about 18153.2516095602. The cubic root of 329540544 is about 690.7214633970.

The spelling of 329540544 in words is "three hundred twenty-nine million, five hundred forty thousand, five hundred forty-four".