3261512604064 has 384 divisors, whose sum is σ = 8238348518400. Its totient is φ = 1247939788800.

The previous prime is 3261512604059. The next prime is 3261512604179. The reversal of 3261512604064 is 4604062151623.

3261512604064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475227897 + ... + 475234759.

It is an arithmetic number, because the mean of its divisors is an integer number (21454032600).

Almost surely, 2^{3261512604064} is an apocalyptic number.

3261512604064 is a gapful number since it is divisible by the number (34) 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 3261512604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119174259200).

3261512604064 is an abundant number, since it is smaller than the sum of its proper divisors (4976835914336).

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

3261512604064 is a wasteful number, since it uses less digits than its factorization.

3261512604064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

Adding to 3261512604064 its reverse (4604062151623), we get a palindrome (7865574755687).

The spelling of 3261512604064 in words is "three trillion, two hundred sixty-one billion, five hundred twelve million, six hundred four thousand, sixty-four".