3982864 has 40 divisors (see below), whose sum is σ = 8213760. Its totient is φ = 1867008.

The previous prime is 3982819. The next prime is 3982877. The reversal of 3982864 is 4682893.

It is a super-4 number, since 4×3982864⁴ (a number of 28 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29004 + ... + 29140.

It is an arithmetic number, because the mean of its divisors is an integer number (205344).

Almost surely, 2^3982864 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 3982864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106880).

3982864 is an abundant number, since it is smaller than the sum of its proper divisors (4230896).

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

3982864 is a wasteful number, since it uses less digits than its factorization.

3982864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 3982864 is about 1995.7114019818. The cubic root of 3982864 is about 158.5130998537.

The spelling of 3982864 in words is "three million, nine hundred eighty-two thousand, eight hundred sixty-four".