3984672 has 24 divisors (see below), whose sum is σ = 10460016. Its totient is φ = 1328192.

The previous prime is 3984653. The next prime is 3984677. The reversal of 3984672 is 2764893.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3984672² = 31755221895168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3984672.

It is not an unprimeable number, because it can be changed into a prime (3984677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20658 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (435834).

Almost surely, 2^3984672 is an apocalyptic number.

3984672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3984672 is an abundant number, since it is smaller than the sum of its proper divisors (6475344).

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

3984672 is a wasteful number, since it uses less digits than its factorization.

3984672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41520 (or 41512 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3984672 is about 1996.1643218934. The cubic root of 3984672 is about 158.5370816191.

It can be divided in two parts, 3984 and 672, that added together give a triangular number (4656 = T₉₆).

The spelling of 3984672 in words is "three million, nine hundred eighty-four thousand, six hundred seventy-two".