3321936 has 120 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 979968.

The previous prime is 3321917. The next prime is 3321937. The reversal of 3321936 is 6391233.

It is a super-2 number, since 2×3321936² = 22070517576192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56275 + ... + 56333.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^3321936 is an apocalyptic number.

3321936 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 3321936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

3321936 is an abundant number, since it is smaller than the sum of its proper divisors (7123824).

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

3321936 is a wasteful number, since it uses less digits than its factorization.

3321936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3321936 is about 1822.6178974212. The cubic root of 3321936 is about 149.2097102598.

The spelling of 3321936 in words is "three million, three hundred twenty-one thousand, nine hundred thirty-six".