329117320 has 48 divisors (see below), whose sum is σ = 861419340. Its totient is φ = 112839552.

The previous prime is 329117311. The next prime is 329117323. The reversal of 329117320 is 23711923.

It can be written as a sum of positive squares in 2 ways, for example, as 324648324 + 4468996 = 18018^2 + 2114^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (329117323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81999 + ... + 85918.

Almost surely, 2^329117320 is an apocalyptic number.

It is an amenable number.

329117320 is an abundant number, since it is smaller than the sum of its proper divisors (532302020).

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

329117320 is a wasteful number, since it uses less digits than its factorization.

329117320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167942 (or 167931 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 329117320 is about 18141.5908894452. The cubic root of 329117320 is about 690.4256423007.

It can be divided in two parts, 329 and 117320, that added together give a 6-th power (117649 = 7⁶).

The spelling of 329117320 in words is "three hundred twenty-nine million, one hundred seventeen thousand, three hundred twenty".