3241920 has 112 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 783360.

The previous prime is 3241879. The next prime is 3241921. The reversal of 3241920 is 291423.

3241920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241921) 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, 10407 + ... + 10713.

It is an arithmetic number, because the mean of its divisors is an integer number (100584).

Almost surely, 2^3241920 is an apocalyptic number.

3241920 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 3241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

3241920 is an abundant number, since it is smaller than the sum of its proper divisors (8023488).

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

3241920 is a wasteful number, since it uses less digits than its factorization.

3241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3241920 is about 1800.5332543444. The cubic root of 3241920 is about 148.0019478682.

The spelling of 3241920 in words is "three million, two hundred forty-one thousand, nine hundred twenty".