3268000 has 96 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 1209600.

The previous prime is 3267973. The next prime is 3268009. The reversal of 3268000 is 8623.

3268000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75979 + ... + 76021.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

Almost surely, 2^3268000 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 3268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

3268000 is an abundant number, since it is smaller than the sum of its proper divisors (5380640).

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

3268000 is a wasteful number, since it uses less digits than its factorization.

3268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3268000 is about 1807.7610461563. The cubic root of 3268000 is about 148.3977612922.

The spelling of 3268000 in words is "three million, two hundred sixty-eight thousand".