3261617568 has 144 divisors (see below), whose sum is σ = 10365630912. Its totient is φ = 964224000.

The previous prime is 3261617563. The next prime is 3261617591. The reversal of 3261617568 is 8657161623.

3261617568 is a `hidden beast` number, since 3 + 26 + 1 + 61 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3261617563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117333 + ... + 142443.

It is an arithmetic number, because the mean of its divisors is an integer number (71983548).

Almost surely, 2^3261617568 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 3261617568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182815456).

3261617568 is an abundant number, since it is smaller than the sum of its proper divisors (7104013344).

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

3261617568 is a wasteful number, since it uses less digits than its factorization.

3261617568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25179 (or 25168 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3261617568 is about 57110.5731716991. The cubic root of 3261617568 is about 1483.0109096577.

The spelling of 3261617568 in words is "three billion, two hundred sixty-one million, six hundred seventeen thousand, five hundred sixty-eight".