3338664 has 96 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 892416.

The previous prime is 3338651. The next prime is 3338689. The reversal of 3338664 is 4668333.

3338664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3338664² = 22293354609792, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19909 + ... + 20075.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^3338664 is an apocalyptic number.

3338664 is a gapful number since it is divisible by the number (34) 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 3338664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3338664 is an abundant number, since it is smaller than the sum of its proper divisors (7003416).

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

3338664 is a wasteful number, since it uses less digits than its factorization.

3338664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3338664 is about 1827.2011383534. The cubic root of 3338664 is about 149.4597453914.

The spelling of 3338664 in words is "three million, three hundred thirty-eight thousand, six hundred sixty-four".