329807016 has 384 divisors, whose sum is σ = 1222041600. Its totient is φ = 77760000.

The previous prime is 329806979. The next prime is 329807069. The reversal of 329807016 is 610708923.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3265366 + ... + 3265466.

It is an arithmetic number, because the mean of its divisors is an integer number (3182400).

Almost surely, 2^329807016 is an apocalyptic number.

329807016 is a gapful number since it is divisible by the number (36) 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 329807016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611020800).

329807016 is an abundant number, since it is smaller than the sum of its proper divisors (892234584).

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

329807016 is a wasteful number, since it uses less digits than its factorization.

329807016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 329807016 is about 18160.5896380046. The cubic root of 329807016 is about 690.9075895502.

The spelling of 329807016 in words is "three hundred twenty-nine million, eight hundred seven thousand, sixteen".