3663872 has 24 divisors (see below), whose sum is σ = 7330050. Its totient is φ = 1830912.

The previous prime is 3663833. The next prime is 3663887. The reversal of 3663872 is 2783663.

It can be written as a sum of positive squares in only one way, i.e., 2262016 + 1401856 = 1504^2 + 1184^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1154 + ... + 2942.

Almost surely, 2^3663872 is an apocalyptic number.

3663872 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 3663872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665025).

3663872 is an abundant number, since it is smaller than the sum of its proper divisors (3666178).

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

3663872 is an equidigital number, since it uses as much as digits as its factorization.

3663872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1791 counting only the distinct ones).

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

The square root of 3663872 is about 1914.1243428785. The cubic root of 3663872 is about 154.1629803193.

The spelling of 3663872 in words is "three million, six hundred sixty-three thousand, eight hundred seventy-two".