329134080 has 208 divisors, whose sum is σ = 1151195904. Its totient is φ = 79626240.

The previous prime is 329134073. The next prime is 329134087. The reversal of 329134080 is 80431923.

It is an interprime number because it is at equal distance from previous prime (329134073) and next prime (329134087).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (329134087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675597 + ... + 676083.

Almost surely, 2^329134080 is an apocalyptic number.

329134080 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 329134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575597952).

329134080 is an abundant number, since it is smaller than the sum of its proper divisors (822061824).

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

329134080 is a wasteful number, since it uses less digits than its factorization.

329134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 329134080 is about 18142.0528055675. The cubic root of 329134080 is about 690.4373618676.

The spelling of 329134080 in words is "three hundred twenty-nine million, one hundred thirty-four thousand, eighty".