3879216 has 120 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 1123200.

The previous prime is 3879199. The next prime is 3879221. The reversal of 3879216 is 6129783.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

Its product of digits (18144) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49065 + ... + 49143.

It is an arithmetic number, because the mean of its divisors is an integer number (103168).

Almost surely, 2^3879216 is an apocalyptic number.

3879216 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 3879216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3879216 is an abundant number, since it is smaller than the sum of its proper divisors (8500944).

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

3879216 is a wasteful number, since it uses less digits than its factorization.

3879216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3879216 is about 1969.5725424569. The cubic root of 3879216 is about 157.1259756757.

It can be divided in two parts, 3879 and 216, that added together give a triangular number (4095 = T₉₀).

The spelling of 3879216 in words is "three million, eight hundred seventy-nine thousand, two hundred sixteen".