3268720 has 80 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1032192.

The previous prime is 3268711. The next prime is 3268723. The reversal of 3268720 is 278623.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 (3268723) 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, 7056 + ... + 7504.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3268720 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 3268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3268720 is an abundant number, since it is smaller than the sum of its proper divisors (6105680).

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

3268720 is a wasteful number, since it uses less digits than its factorization.

3268720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3268720 is about 1807.9601765526. The cubic root of 3268720 is about 148.4086587363.

The spelling of 3268720 in words is "three million, two hundred sixty-eight thousand, seven hundred twenty".