329993136 has 240 divisors, whose sum is σ = 1068681600. Its totient is φ = 97384320.

The previous prime is 329993129. The next prime is 329993141. The reversal of 329993136 is 631399923.

329993136 is a `hidden beast` number, since 329 + 9 + 9 + 313 + 6 = 666.

It is a super-2 number, since 2×329993136² = 217790939614228992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 329993091 and 329993100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3083995 + ... + 3084101.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^329993136 is an apocalyptic number.

329993136 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 329993136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800).

329993136 is an abundant number, since it is smaller than the sum of its proper divisors (738688464).

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

329993136 is a wasteful number, since it uses less digits than its factorization.

329993136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 329993136 is about 18165.7131982204. The cubic root of 329993136 is about 691.0375317411.

The spelling of 329993136 in words is "three hundred twenty-nine million, nine hundred ninety-three thousand, one hundred thirty-six".