329135040 has 336 divisors, whose sum is σ = 1248156000. Its totient is φ = 79110144.

The previous prime is 329135039. The next prime is 329135041. The reversal of 329135040 is 40531923.

It is an interprime number because it is at equal distance from previous prime (329135039) and next prime (329135041).

It is a junction number, because it is equal to n+sod(n) for n = 329134995 and 329135013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329135041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208886 + ... + 2209034.

It is an arithmetic number, because the mean of its divisors is an integer number (3714750).

Almost surely, 2^329135040 is an apocalyptic number.

329135040 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 329135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624078000).

329135040 is an abundant number, since it is smaller than the sum of its proper divisors (919020960).

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

329135040 is a wasteful number, since it uses less digits than its factorization.

329135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 329135040 is about 18142.0792634141. The cubic root of 329135040 is about 690.4380331434.

Adding to 329135040 its reverse (40531923), we get a palindrome (369666963).

The spelling of 329135040 in words is "three hundred twenty-nine million, one hundred thirty-five thousand, forty".