3283940 has 72 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 1122880.

The previous prime is 3283939. The next prime is 3283967. The reversal of 3283940 is 493823.

3283940 = 148² + 149² + ... + 235².

3283940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 55631 + ... + 55689.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 2^3283940 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 3283940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

3283940 is an abundant number, since it is smaller than the sum of its proper divisors (4759900).

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

3283940 is a wasteful number, since it uses less digits than its factorization.

3283940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3283940 is about 1812.1644516986. The cubic root of 3283940 is about 148.6386450926.

The spelling of 3283940 in words is "three million, two hundred eighty-three thousand, nine hundred forty".