329168340 has 48 divisors (see below), whose sum is σ = 1024080960. Its totient is φ = 87778080.

The previous prime is 329168303. The next prime is 329168353. The reversal of 329168340 is 43861923.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 329168295 and 329168304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304246 + ... + 305325.

It is an arithmetic number, because the mean of its divisors is an integer number (21335020).

Almost surely, 2^329168340 is an apocalyptic number.

329168340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329168340 is an abundant number, since it is smaller than the sum of its proper divisors (694912620).

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

329168340 is a wasteful number, since it uses less digits than its factorization.

329168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609589 (or 609581 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 329168340 is about 18142.9969960864. The cubic root of 329168340 is about 690.4613172147.

It can be divided in two parts, 3291 and 68340, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 329168340 in words is "three hundred twenty-nine million, one hundred sixty-eight thousand, three hundred forty".