3937284 has 72 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1179072.

The previous prime is 3937273. The next prime is 3937289. The reversal of 3937284 is 4827393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3937289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21907 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^3937284 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 3937284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3937284 is an abundant number, since it is smaller than the sum of its proper divisors (7070076).

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

3937284 is a wasteful number, since it uses less digits than its factorization.

3937284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3937284 is about 1984.2590556679. The cubic root of 3937284 is about 157.9061024099.

The spelling of 3937284 in words is "three million, nine hundred thirty-seven thousand, two hundred eighty-four".