3872016 has 40 divisors (see below), whose sum is σ = 11115360. Its totient is φ = 1290528.

The previous prime is 3871969. The next prime is 3872017. The reversal of 3872016 is 6102783.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3872017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4050 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (277884).

Almost surely, 2^3872016 is an apocalyptic number.

3872016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3872016 is an abundant number, since it is smaller than the sum of its proper divisors (7243344).

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

3872016 is a wasteful number, since it uses less digits than its factorization.

3872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3872016 is about 1967.7438857738. The cubic root of 3872016 is about 157.0287045032.

Adding to 3872016 its reverse (6102783), we get a palindrome (9974799).

The spelling of 3872016 in words is "three million, eight hundred seventy-two thousand, sixteen".