3184224 has 48 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1034240.

The previous prime is 3184177. The next prime is 3184241. The reversal of 3184224 is 4224813.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×3184224⁴ (a number of 27 digits) contains 4444 as substring.

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 = 3184194 and 3184203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3532 + ... + 4340.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 2^3184224 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 3184224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3184224 is an abundant number, since it is smaller than the sum of its proper divisors (5388816).

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

3184224 is a wasteful number, since it uses less digits than its factorization.

3184224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3184224 is about 1784.4394077693. The cubic root of 3184224 is about 147.1186972259.

It can be divided in two parts, 31 and 84224, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 3184224 in words is "three million, one hundred eighty-four thousand, two hundred twenty-four".