3241800 has 72 divisors (see below), whose sum is σ = 10893090. Its totient is φ = 864000.

The previous prime is 3241783. The next prime is 3241801. The reversal of 3241800 is 81423.

It is a happy number.

3241800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1758276 + 1483524 = 1326^2 + 1218^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3241801) 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 17 ways as a sum of consecutive naturals, for example, 900 + ... + 2700.

Almost surely, 2^3241800 is an apocalyptic number.

3241800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1800×1801.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446545).

3241800 is an abundant number, since it is smaller than the sum of its proper divisors (7651290).

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

3241800 is a wasteful number, since it uses less digits than its factorization.

3241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3241800 is about 1800.4999305748. The cubic root of 3241800 is about 148.0001217433. Note that the first 3 decimals are identical.

The spelling of 3241800 in words is "three million, two hundred forty-one thousand, eight hundred".