3136224 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 824832.

The previous prime is 3136223. The next prime is 3136229. The reversal of 3136224 is 4226313.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3136224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8557 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3136224 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 3136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3136224 is an abundant number, since it is smaller than the sum of its proper divisors (7024416).

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

3136224 is a wasteful number, since it uses less digits than its factorization.

3136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 3136224 is about 1770.9387341182. The cubic root of 3136224 is about 146.3757133710.

The spelling of 3136224 in words is "three million, one hundred thirty-six thousand, two hundred twenty-four".