329994000 has 480 divisors, whose sum is σ = 1380078336. Its totient is φ = 74649600.

The previous prime is 329993999. The next prime is 329994001. The reversal of 329994000 is 499923.

It is an interprime number because it is at equal distance from previous prime (329993999) and next prime (329994001).

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

It is not an unprimeable number, because it can be changed into a prime (329994001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3401952 + ... + 3402048.

Almost surely, 2^329994000 is an apocalyptic number.

329994000 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 329994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690039168).

329994000 is an abundant number, since it is smaller than the sum of its proper divisors (1050084336).

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

329994000 is an equidigital number, since it uses as much as digits as its factorization.

329994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 329994000 is about 18165.7369792695. The cubic root of 329994000 is about 691.0381348404.

The spelling of 329994000 in words is "three hundred twenty-nine million, nine hundred ninety-four thousand".