3201001200 has 240 divisors, whose sum is σ = 11672690400. Its totient is φ = 832665600.

The previous prime is 3201001171. The next prime is 3201001207. The reversal of 3201001200 is 21001023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201001207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439186 + ... + 446414.

It is an arithmetic number, because the mean of its divisors is an integer number (48636210).

Almost surely, 2^3201001200 is an apocalyptic number.

3201001200 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 3201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836345200).

3201001200 is an abundant number, since it is smaller than the sum of its proper divisors (8471689200).

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

3201001200 is a wasteful number, since it uses less digits than its factorization.

3201001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3201001200 is about 56577.3912442064. The cubic root of 3201001200 is about 1473.7662689448.

Adding to 3201001200 its reverse (21001023), we get a palindrome (3222002223).

The spelling of 3201001200 in words is "three billion, two hundred one million, one thousand, two hundred".