3968874 has 48 divisors (see below), whose sum is σ = 10588032. Its totient is φ = 1046304.

The previous prime is 3968873. The next prime is 3968893. The reversal of 3968874 is 4788693.

It is a happy number.

It is a super-3 number, since 3×3968874³ (a number of 21 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3968873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (220584).

Almost surely, 2^3968874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294016).

3968874 is an abundant number, since it is smaller than the sum of its proper divisors (6619158).

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

3968874 is a wasteful number, since it uses less digits than its factorization.

3968874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2448 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3968874 is about 1992.2033028785. The cubic root of 3968874 is about 158.3272871806.

The spelling of 3968874 in words is "three million, nine hundred sixty-eight thousand, eight hundred seventy-four".