3233664 has 96 divisors (see below), whose sum is σ = 10661040. Its totient is φ = 921600.

The previous prime is 3233663. The next prime is 3233683. The reversal of 3233664 is 4663323.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7864 + ... + 8264.

Almost surely, 2^3233664 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 3233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330520).

3233664 is an abundant number, since it is smaller than the sum of its proper divisors (7427376).

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

3233664 is a wasteful number, since it uses less digits than its factorization.

3233664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3233664 is about 1798.2391387132. The cubic root of 3233664 is about 147.8762052218.

Adding to 3233664 its reverse (4663323), we get a palindrome (7896987).

It can be divided in two parts, 32336 and 64, that added together give a square (32400 = 180²).

The spelling of 3233664 in words is "three million, two hundred thirty-three thousand, six hundred sixty-four".