3261851506368 has 1344 divisors, whose sum is σ = 12614252851200. Its totient is φ = 781939630080.

The previous prime is 3261851506367. The next prime is 3261851506373. The reversal of 3261851506368 is 8636051581623.

It is a happy number.

3261851506368 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 8 + 515 + 0 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (3261851506367) 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 191 ways as a sum of consecutive naturals, for example, 2526607803 + ... + 2526609093.

It is an arithmetic number, because the mean of its divisors is an integer number (9385604800).

Almost surely, 2^{3261851506368} is an apocalyptic number.

3261851506368 is a gapful number since it is divisible by the number (38) 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 3261851506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307126425600).

3261851506368 is an abundant number, since it is smaller than the sum of its proper divisors (9352401344832).

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

3261851506368 is a wasteful number, since it uses less digits than its factorization.

3261851506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3261851506368 in words is "three trillion, two hundred sixty-one billion, eight hundred fifty-one million, five hundred six thousand, three hundred sixty-eight".