329142996 has 216 divisors, whose sum is σ = 1078232064. Its totient is φ = 83825280.

The previous prime is 329142991. The next prime is 329143037. The reversal of 329142996 is 699241923.

It is a happy number.

329142996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×329142996² = 216670223631712032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329142991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 710661 + ... + 711123.

Almost surely, 2^329142996 is an apocalyptic number.

329142996 is a gapful number since it is divisible by the number (36) 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 329142996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539116032).

329142996 is an abundant number, since it is smaller than the sum of its proper divisors (749089068).

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

329142996 is a wasteful number, since it uses less digits than its factorization.

329142996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 329142996 is about 18142.2985313328. The cubic root of 329142996 is about 690.4435962913.

The spelling of 329142996 in words is "three hundred twenty-nine million, one hundred forty-two thousand, nine hundred ninety-six".