3264000 has 160 divisors (see below), whose sum is σ = 11490336. Its totient is φ = 819200.

The previous prime is 3263993. The next prime is 3264007. The reversal of 3264000 is 4623.

It is an interprime number because it is at equal distance from previous prime (3263993) and next prime (3264007).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191992 + ... + 192008.

Almost surely, 2^3264000 is an apocalyptic number.

3264000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168).

3264000 is an abundant number, since it is smaller than the sum of its proper divisors (8226336).

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

3264000 is an equidigital number, since it uses as much as digits as its factorization.

3264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3264000 is about 1806.6543665018. The cubic root of 3264000 is about 148.3371907706.

Adding to 3264000 its reverse (4623), we get a palindrome (3268623).

The spelling of 3264000 in words is "three million, two hundred sixty-four thousand".