3968784 has 40 divisors (see below), whose sum is σ = 11393120. Its totient is φ = 1322784.

The previous prime is 3968761. The next prime is 3968801. The reversal of 3968784 is 4878693.

It is a happy number.

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, 4162 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (284828).

Almost surely, 2^3968784 is an apocalyptic number.

It is an amenable number.

3968784 is an abundant number, since it is smaller than the sum of its proper divisors (7424336).

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

3968784 is a wasteful number, since it uses less digits than its factorization.

3968784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9204 (or 9192 counting only the distinct ones).

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

The square root of 3968784 is about 1992.1807146943. The cubic root of 3968784 is about 158.3260904043.

Subtracting 3968784 from its reverse (4878693), we obtain a palindrome (909909).

It can be divided in two parts, 396 and 8784, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 3968784 in words is "three million, nine hundred sixty-eight thousand, seven hundred eighty-four".