3339936 has 36 divisors (see below), whose sum is σ = 9498762. Its totient is φ = 1113216.

The previous prime is 3339913. The next prime is 3339937. The reversal of 3339936 is 6399333.

3339936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2250000 + 1089936 = 1500^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3339936² = 22310344968192, 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 self number, because there is not a number n which added to its sum of digits gives 3339936.

It is not an unprimeable number, because it can be changed into a prime (3339937) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5511 + ... + 6086.

Almost surely, 2^3339936 is an apocalyptic number.

3339936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3339936 is an abundant number, since it is smaller than the sum of its proper divisors (6158826).

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

3339936 is a wasteful number, since it uses less digits than its factorization.

3339936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11602 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 3339936 is about 1827.5491785449. The cubic root of 3339936 is about 149.4787239067.

The spelling of 3339936 in words is "three million, three hundred thirty-nine thousand, nine hundred thirty-six".