3982284 has 72 divisors (see below), whose sum is σ = 11099088. Its totient is φ = 1244160.

The previous prime is 3982283. The next prime is 3982333. The reversal of 3982284 is 4822893.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3982283) 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, 16404 + ... + 16644.

It is an arithmetic number, because the mean of its divisors is an integer number (154154).

Almost surely, 2^3982284 is an apocalyptic number.

3982284 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 3982284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549544).

3982284 is an abundant number, since it is smaller than the sum of its proper divisors (7116804).

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

3982284 is a wasteful number, since it uses less digits than its factorization.

3982284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3982284 is about 1995.5660850997. The cubic root of 3982284 is about 158.5054050507.

The spelling of 3982284 in words is "three million, nine hundred eighty-two thousand, two hundred eighty-four".