3339648 has 96 divisors (see below), whose sum is σ = 10395840. Its totient is φ = 1022976.

The previous prime is 3339647. The next prime is 3339653. The reversal of 3339648 is 8469333.

3339648 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3339648² = 22306497527808, which contains 22 as substring.

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 + 3⁴ + 3¹³ + 9² + 6⁸ + 4⁸ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14865 + ... + 15087.

It is an arithmetic number, because the mean of its divisors is an integer number (108290).

Almost surely, 2^3339648 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 3339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197920).

3339648 is an abundant number, since it is smaller than the sum of its proper divisors (7056192).

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

3339648 is a wasteful number, since it uses less digits than its factorization.

3339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3339648 is about 1827.4703827969. The cubic root of 3339648 is about 149.4744273064.

The spelling of 3339648 in words is "three million, three hundred thirty-nine thousand, six hundred forty-eight".