3844672 has 28 divisors (see below), whose sum is σ = 8217916. Its totient is φ = 1774080.

The previous prime is 3844667. The next prime is 3844697. The reversal of 3844672 is 2764483.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 2876416 = 984^2 + 1696^2 .

It is a d-powerful number, because it can be written as 3⁷ + 8⁷ + 4 + 4⁸ + 6⁸ + 7² + 2⁷ .

It is a nialpdrome in base 4.

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, 1479 + ... + 3142.

It is an arithmetic number, because the mean of its divisors is an integer number (293497).

Almost surely, 2^3844672 is an apocalyptic number.

3844672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3844672 is an abundant number, since it is smaller than the sum of its proper divisors (4373244).

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

3844672 is a wasteful number, since it uses less digits than its factorization.

3844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4636 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 3844672 is about 1960.7835168626. The cubic root of 3844672 is about 156.6581877610.

The spelling of 3844672 in words is "three million, eight hundred forty-four thousand, six hundred seventy-two".