3213648 has 80 divisors (see below), whose sum is σ = 9493440. Its totient is φ = 1040256.

The previous prime is 3213619. The next prime is 3213659. The reversal of 3213648 is 8463123.

It is a happy number.

3213648 is a `hidden beast` number, since 3 + 2 + 13 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18490 + ... + 18662.

It is an arithmetic number, because the mean of its divisors is an integer number (118668).

Almost surely, 2^3213648 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 3213648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746720).

3213648 is an abundant number, since it is smaller than the sum of its proper divisors (6279792).

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

3213648 is a wasteful number, since it uses less digits than its factorization.

3213648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3213648 is about 1792.6650551623. The cubic root of 3213648 is about 147.5704614034.

It can be divided in two parts, 321 and 3648, that added together give a square (3969 = 63²).

The spelling of 3213648 in words is "three million, two hundred thirteen thousand, six hundred forty-eight".