329506380 has 240 divisors, whose sum is σ = 1207483200. Its totient is φ = 75188736.

The previous prime is 329506363. The next prime is 329506403. The reversal of 329506380 is 83605923.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 555364 + ... + 555956.

It is an arithmetic number, because the mean of its divisors is an integer number (5031180).

Almost surely, 2^329506380 is an apocalyptic number.

329506380 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 329506380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603741600).

329506380 is an abundant number, since it is smaller than the sum of its proper divisors (877976820).

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

329506380 is a wasteful number, since it uses less digits than its factorization.

329506380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 329506380 is about 18152.3105967257. The cubic root of 329506380 is about 690.6975931692.

The spelling of 329506380 in words is "three hundred twenty-nine million, five hundred six thousand, three hundred eighty".