3261791218560 has 1024 divisors, whose sum is σ = 12834214594560. Its totient is φ = 687734784000.

The previous prime is 3261791218507. The next prime is 3261791218561. The reversal of 3261791218560 is 658121971623.

3261791218560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3261791218561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2469182700 + ... + 2469184020.

It is an arithmetic number, because the mean of its divisors is an integer number (12533412690).

Almost surely, 2^{3261791218560} is an apocalyptic number.

3261791218560 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 3261791218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417107297280).

3261791218560 is an abundant number, since it is smaller than the sum of its proper divisors (9572423376000).

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

3261791218560 is a wasteful number, since it uses less digits than its factorization.

3261791218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 3261791218560 in words is "three trillion, two hundred sixty-one billion, seven hundred ninety-one million, two hundred eighteen thousand, five hundred sixty".