3241849800 has 288 divisors, whose sum is σ = 12071013120. Its totient is φ = 716889600.

The previous prime is 3241849777. The next prime is 3241849801. The reversal of 3241849800 is 89481423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241849801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909622 + ... + 913178.

It is an arithmetic number, because the mean of its divisors is an integer number (41913240).

Almost surely, 2^3241849800 is an apocalyptic number.

3241849800 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 3241849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035506560).

3241849800 is an abundant number, since it is smaller than the sum of its proper divisors (8829163320).

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

3241849800 is a wasteful number, since it uses less digits than its factorization.

3241849800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3241849800 is about 56937.2444011826. The cubic root of 3241849800 is about 1480.0087959058.

The spelling of 3241849800 in words is "three billion, two hundred forty-one million, eight hundred forty-nine thousand, eight hundred".