3836672 has 36 divisors (see below), whose sum is σ = 8756496. Its totient is φ = 1643520.

The previous prime is 3836669. The next prime is 3836681. The reversal of 3836672 is 2766383.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 722 + ... + 2862.

It is an arithmetic number, because the mean of its divisors is an integer number (243236).

Almost surely, 2^3836672 is an apocalyptic number.

3836672 is a gapful number since it is divisible by the number (32) 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 3836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378248).

3836672 is an abundant number, since it is smaller than the sum of its proper divisors (4919824).

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

3836672 is an equidigital number, since it uses as much as digits as its factorization.

3836672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2150 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 3836672 is about 1958.7424537187. The cubic root of 3836672 is about 156.5494541010.

The spelling of 3836672 in words is "three million, eight hundred thirty-six thousand, six hundred seventy-two".