3180672 has 96 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 960000.

The previous prime is 3180641. The next prime is 3180677. The reversal of 3180672 is 2760813.

3180672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3180677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12547 + ... + 12797.

Almost surely, 2^3180672 is an apocalyptic number.

3180672 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 3180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3180672 is an abundant number, since it is smaller than the sum of its proper divisors (6843888).

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

3180672 is a wasteful number, since it uses less digits than its factorization.

3180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

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

The square root of 3180672 is about 1783.4438595033. The cubic root of 3180672 is about 147.0639732659.

It can be divided in two parts, 31806 and 72, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 3180672 in words is "three million, one hundred eighty thousand, six hundred seventy-two".