3271680000 has 420 divisors, whose sum is σ = 11976235128. Its totient is φ = 860160000.

The previous prime is 3271679989. The next prime is 3271680001. The reversal of 3271680000 is 861723.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3271680001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46079965 + ... + 46080035.

Almost surely, 2^3271680000 is an apocalyptic number.

3271680000 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 3271680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988117564).

3271680000 is an abundant number, since it is smaller than the sum of its proper divisors (8704555128).

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

3271680000 is an frugal number, since it uses more digits than its factorization.

3271680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3271680000 is about 57198.6013815023. The cubic root of 3271680000 is about 1484.5344253513.

The spelling of 3271680000 in words is "three billion, two hundred seventy-one million, six hundred eighty thousand".