3201168000 has 256 divisors, whose sum is σ = 11238963840. Its totient is φ = 803225600.

The previous prime is 3201167989. The next prime is 3201168011. The reversal of 3201168000 is 8611023.

It is an interprime number because it is at equal distance from previous prime (3201167989) and next prime (3201168011).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814039 + ... + 817961.

Almost surely, 2^3201168000 is an apocalyptic number.

3201168000 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 3201168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619481920).

3201168000 is an abundant number, since it is smaller than the sum of its proper divisors (8037795840).

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

3201168000 is a wasteful number, since it uses less digits than its factorization.

3201168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 3201168000 is about 56578.8653120580. The cubic root of 3201168000 is about 1473.7918671800.

Adding to 3201168000 its reverse (8611023), we get a palindrome (3209779023).

The spelling of 3201168000 in words is "three billion, two hundred one million, one hundred sixty-eight thousand".