3264800 has 144 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 998400.

The previous prime is 3264773. The next prime is 3264809. The reversal of 3264800 is 84623.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61574 + ... + 61626.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

Almost surely, 2^3264800 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 3264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

3264800 is an abundant number, since it is smaller than the sum of its proper divisors (6859552).

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

3264800 is a wasteful number, since it uses less digits than its factorization.

3264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3264800 is about 1806.8757566584. The cubic root of 3264800 is about 148.3493088322.

It can be divided in two parts, 32 and 64800, that multiplied together give a square (2073600 = 1440²).

The spelling of 3264800 in words is "three million, two hundred sixty-four thousand, eight hundred".