3261671378560 has 256 divisors, whose sum is σ = 9284827668480. Its totient is φ = 1072094515200.

The previous prime is 3261671378549. The next prime is 3261671378569. The reversal of 3261671378560 is 658731761623.

It is a happy number.

3261671378560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3261671378569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14750415 + ... + 14969905.

It is an arithmetic number, because the mean of its divisors is an integer number (36268858080).

Almost surely, 2^{3261671378560} 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 3261671378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642413834240).

3261671378560 is an abundant number, since it is smaller than the sum of its proper divisors (6023156289920).

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

3261671378560 is a wasteful number, since it uses less digits than its factorization.

3261671378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219655 (or 219643 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 3261671378560 in words is "three trillion, two hundred sixty-one billion, six hundred seventy-one million, three hundred seventy-eight thousand, five hundred sixty".