3299328 has 72 divisors (see below), whose sum is σ = 9582300. Its totient is φ = 1093632.

The previous prime is 3299323. The next prime is 3299357. The reversal of 3299328 is 8239923.

3299328 is a `hidden beast` number, since 329 + 9 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a d-powerful number, because it can be written as 3 + 2¹³ + 9⁶ + 9⁶ + 3³ + 2¹⁷ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 3299292 and 3299301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18343 + ... + 18521.

Almost surely, 2^3299328 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 3299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791150).

3299328 is an abundant number, since it is smaller than the sum of its proper divisors (6282972).

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

3299328 is a wasteful number, since it uses less digits than its factorization.

3299328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3299328 is about 1816.4052411288. The cubic root of 3299328 is about 148.8704487777.

The spelling of 3299328 in words is "three million, two hundred ninety-nine thousand, three hundred twenty-eight".