3879936 has 66 divisors (see below), whose sum is σ = 11229842. Its totient is φ = 1290240.

The previous prime is 3879923. The next prime is 3879943. The reversal of 3879936 is 6399783.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 1806336 = 1440^2 + 1344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3879891 and 3879900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9006 + ... + 9426.

Almost surely, 2^3879936 is an apocalyptic number.

3879936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614921).

3879936 is an abundant number, since it is smaller than the sum of its proper divisors (7349906).

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

3879936 is a wasteful number, since it uses less digits than its factorization.

3879936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3879936 is about 1969.7553147536. The cubic root of 3879936 is about 157.1356961711.

The spelling of 3879936 in words is "three million, eight hundred seventy-nine thousand, nine hundred thirty-six".