329406636 has 48 divisors (see below), whose sum is σ = 833835744. Its totient is φ = 100609536.

The previous prime is 329406619. The next prime is 329406641. The reversal of 329406636 is 636604923.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 329406594 and 329406603.

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 15 ways as a sum of consecutive naturals, for example, 13666 + ... + 29078.

It is an arithmetic number, because the mean of its divisors is an integer number (17371578).

Almost surely, 2^329406636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329406636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416917872).

329406636 is an abundant number, since it is smaller than the sum of its proper divisors (504429108).

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

329406636 is a wasteful number, since it uses less digits than its factorization.

329406636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15570 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 329406636 is about 18149.5629699450. The cubic root of 329406636 is about 690.6278930586.

The spelling of 329406636 in words is "three hundred twenty-nine million, four hundred six thousand, six hundred thirty-six".