3984192 has 42 divisors (see below), whose sum is σ = 11421618. Its totient is φ = 1327872.

The previous prime is 3984191. The next prime is 3984199. The reversal of 3984192 is 2914893.

It can be written as a sum of positive squares in only one way, i.e., 3594816 + 389376 = 1896^2 + 624^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2883 + ... + 4034.

Almost surely, 2^3984192 is an apocalyptic number.

3984192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3984192 is an abundant number, since it is smaller than the sum of its proper divisors (7437426).

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

3984192 is a wasteful number, since it uses less digits than its factorization.

3984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935 (or 6922 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3984192 is about 1996.0440876894. The cubic root of 3984192 is about 158.5307154861.

The spelling of 3984192 in words is "three million, nine hundred eighty-four thousand, one hundred ninety-two".