3144624 has 80 divisors (see below), whose sum is σ = 9523200. Its totient is φ = 893760.

The previous prime is 3144619. The next prime is 3144689. The reversal of 3144624 is 4264413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3144594 and 3144603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16369 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 2^3144624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761600).

3144624 is an abundant number, since it is smaller than the sum of its proper divisors (6378576).

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

3144624 is a wasteful number, since it uses less digits than its factorization.

3144624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3144624 is about 1773.3087717597. The cubic root of 3144624 is about 146.5062801379.

The spelling of 3144624 in words is "three million, one hundred forty-four thousand, six hundred twenty-four".