3144672 has 72 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 1025280.

The previous prime is 3144619. The next prime is 3144689. The reversal of 3144672 is 2764413.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17479 + ... + 17657.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^3144672 is an apocalyptic number.

3144672 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 3144672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

3144672 is an abundant number, since it is smaller than the sum of its proper divisors (5995368).

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

3144672 is a wasteful number, since it uses less digits than its factorization.

3144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3144672 is about 1773.3223057301. The cubic root of 3144672 is about 146.5070255651.

The spelling of 3144672 in words is "three million, one hundred forty-four thousand, six hundred seventy-two".