3271632363648 has 640 divisors, whose sum is σ = 11119138842240. Its totient is φ = 945229824000.

The previous prime is 3271632363647. The next prime is 3271632363653. The reversal of 3271632363648 is 8463632361723.

3271632363648 is a `hidden beast` number, since 3 + 271 + 6 + 3 + 2 + 3 + 6 + 364 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3271632363594 and 3271632363603.

It is not an unprimeable number, because it can be changed into a prime (3271632363647) 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 79 ways as a sum of consecutive naturals, for example, 883984198 + ... + 883987898.

It is an arithmetic number, because the mean of its divisors is an integer number (17373654441).

Almost surely, 2^{3271632363648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3271632363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559569421120).

3271632363648 is an abundant number, since it is smaller than the sum of its proper divisors (7847506478592).

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

3271632363648 is a wasteful number, since it uses less digits than its factorization.

3271632363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4077 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 3271632363648 in words is "three trillion, two hundred seventy-one billion, six hundred thirty-two million, three hundred sixty-three thousand, six hundred forty-eight".