3271968000 has 576 divisors, whose sum is σ = 13825943040. Its totient is φ = 746496000.

The previous prime is 3271967999. The next prime is 3271968061. The reversal of 3271968000 is 8691723.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047730 + ... + 6048270.

Almost surely, 2^3271968000 is an apocalyptic number.

3271968000 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 3271968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912971520).

3271968000 is an abundant number, since it is smaller than the sum of its proper divisors (10553975040).

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

3271968000 is an equidigital number, since it uses as much as digits as its factorization.

3271968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3271968000 is about 57201.1188701760. The cubic root of 3271968000 is about 1484.5779843557.

The spelling of 3271968000 in words is "three billion, two hundred seventy-one million, nine hundred sixty-eight thousand".