3213504 has 84 divisors (see below), whose sum is σ = 10539984. Its totient is φ = 916992.

The previous prime is 3213499. The next prime is 3213559. The reversal of 3213504 is 4053123.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3634 + ... + 4430.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 2^3213504 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 3213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269992).

3213504 is an abundant number, since it is smaller than the sum of its proper divisors (7326480).

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

3213504 is a wasteful number, since it uses less digits than its factorization.

3213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3213504 is about 1792.6248910466. The cubic root of 3213504 is about 147.5682572143.

Adding to 3213504 its reverse (4053123), we get a palindrome (7266627).

The spelling of 3213504 in words is "three million, two hundred thirteen thousand, five hundred four".