3266920 has 64 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 1208064.

The previous prime is 3266909. The next prime is 3266927. The reversal of 3266920 is 296623.

3266920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹² + 2⁷ + 6 + 6⁸ + 9⁶ + 2¹⁹ + 0 .

It is not an unprimeable number, because it can be changed into a prime (3266927) 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, 48727 + ... + 48793.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 2^3266920 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 3266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

3266920 is an abundant number, since it is smaller than the sum of its proper divisors (4664600).

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

3266920 is a wasteful number, since it uses less digits than its factorization.

3266920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3266920 is about 1807.4623094272. The cubic root of 3266920 is about 148.3814121244.

It can be divided in two parts, 3266 and 920, that added together give a triangular number (4186 = T₉₁).

The spelling of 3266920 in words is "three million, two hundred sixty-six thousand, nine hundred twenty".