3879792 has 80 divisors (see below), whose sum is σ = 12737280. Its totient is φ = 1107648.

The previous prime is 3879773. The next prime is 3879793. The reversal of 3879792 is 2979783.

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 (3879793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2383 + ... + 3665.

It is an arithmetic number, because the mean of its divisors is an integer number (159216).

Almost surely, 2^3879792 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 3879792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368640).

3879792 is an abundant number, since it is smaller than the sum of its proper divisors (8857488).

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

3879792 is a wasteful number, since it uses less digits than its factorization.

3879792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

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

The square root of 3879792 is about 1969.7187616510. The cubic root of 3879792 is about 157.1337521683.

Subtracting from 3879792 its reverse (2979783), we obtain a palindrome (900009).

The spelling of 3879792 in words is "three million, eight hundred seventy-nine thousand, seven hundred ninety-two".