328686336 has 270 divisors, whose sum is σ = 1085505036. Its totient is φ = 98841600.

The previous prime is 328686311. The next prime is 328686383. The reversal of 328686336 is 633686823.

328686336 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 8 + 633 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 328686291 and 328686300.

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 29 ways as a sum of consecutive naturals, for example, 2508991 + ... + 2509121.

Almost surely, 2^328686336 is an apocalyptic number.

328686336 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 328686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542752518).

328686336 is an abundant number, since it is smaller than the sum of its proper divisors (756818700).

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

328686336 is a wasteful number, since it uses less digits than its factorization.

328686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 328686336 is about 18129.7086573392. The cubic root of 328686336 is about 690.1241364557.

It can be divided in two parts, 32868 and 6336, that added together give a square (39204 = 198²).

The spelling of 328686336 in words is "three hundred twenty-eight million, six hundred eighty-six thousand, three hundred thirty-six".