3242131200 has 1296 divisors, whose sum is σ = 15657497856. Its totient is φ = 619315200.

The previous prime is 3242131181. The next prime is 3242131213. The reversal of 3242131200 is 21312423.

3242131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3242131200² = 21022829436026880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75398379 + ... + 75398421.

Almost surely, 2^3242131200 is an apocalyptic number.

3242131200 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 3242131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828748928).

3242131200 is an abundant number, since it is smaller than the sum of its proper divisors (12415366656).

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

3242131200 is a wasteful number, since it uses less digits than its factorization.

3242131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3242131200 is about 56939.7154892787. The cubic root of 3242131200 is about 1480.0516173865.

Adding to 3242131200 its reverse (21312423), we get a palindrome (3263443623).

It can be divided in two parts, 3242131 and 200, that added together give a triangular number (3242331 = T₂₅₄₆).

The spelling of 3242131200 in words is "three billion, two hundred forty-two million, one hundred thirty-one thousand, two hundred".