3978792 has 48 divisors (see below), whose sum is σ = 10937940. Its totient is φ = 1306368.

The previous prime is 3978781. The next prime is 3978803. The reversal of 3978792 is 2978793.

3978792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3978781) and next prime (3978803).

It can be written as a sum of positive squares in 2 ways, for example, as 3944196 + 34596 = 1986^2 + 186^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4878 + ... + 5634.

Almost surely, 2^3978792 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 3978792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468970).

3978792 is an abundant number, since it is smaller than the sum of its proper divisors (6959148).

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

3978792 is a wasteful number, since it uses less digits than its factorization.

3978792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 3978792 is about 1994.6909535063. The cubic root of 3978792 is about 158.4590612324.

Subtracting from 3978792 its reverse (2978793), we obtain a palindrome (999999).

The spelling of 3978792 in words is "three million, nine hundred seventy-eight thousand, seven hundred ninety-two".