329821152 has 144 divisors (see below), whose sum is σ = 946294272. Its totient is φ = 100465920.

The previous prime is 329821117. The next prime is 329821157. The reversal of 329821152 is 251128923.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329821157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074183 + ... + 1074489.

It is an arithmetic number, because the mean of its divisors is an integer number (6571488).

Almost surely, 2^329821152 is an apocalyptic number.

329821152 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 329821152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473147136).

329821152 is an abundant number, since it is smaller than the sum of its proper divisors (616473120).

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

329821152 is a wasteful number, since it uses less digits than its factorization.

329821152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 362 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 329821152 is about 18160.9788282460. The cubic root of 329821152 is about 690.9174605047.

The spelling of 329821152 in words is "three hundred twenty-nine million, eight hundred twenty-one thousand, one hundred fifty-two".