329953680 has 240 divisors, whose sum is σ = 1341235584. Its totient is φ = 70963200.

The previous prime is 329953643. The next prime is 329953681. The reversal of 329953680 is 86359923.

329953680 is a `hidden beast` number, since 32 + 9 + 9 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (329953681) 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 47 ways as a sum of consecutive naturals, for example, 83755 + ... + 87605.

Almost surely, 2^329953680 is an apocalyptic number.

329953680 is a gapful number since it is divisible by the number (30) 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 329953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670617792).

329953680 is an abundant number, since it is smaller than the sum of its proper divisors (1011281904).

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

329953680 is a wasteful number, since it uses less digits than its factorization.

329953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 329953680 is about 18164.6271638038. The cubic root of 329953680 is about 691.0099890838.

The spelling of 329953680 in words is "three hundred twenty-nine million, nine hundred fifty-three thousand, six hundred eighty".