329069952 has 160 divisors (see below), whose sum is σ = 1037468520. Its totient is φ = 103182336.

The previous prime is 329069941. The next prime is 329069957. The reversal of 329069952 is 259960923.

It is a junction number, because it is equal to n+sod(n) for n = 329069898 and 329069907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329069957) 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 19 ways as a sum of consecutive naturals, for example, 175323 + ... + 177189.

Almost surely, 2^329069952 is an apocalyptic number.

329069952 is a gapful number since it is divisible by the number (32) 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 329069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518734260).

329069952 is an abundant number, since it is smaller than the sum of its proper divisors (708398568).

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

329069952 is a wasteful number, since it uses less digits than its factorization.

329069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 329069952 is about 18140.2853340293. The cubic root of 329069952 is about 690.3925176884.

The spelling of 329069952 in words is "three hundred twenty-nine million, sixty-nine thousand, nine hundred fifty-two".