3261566265632 has 96 divisors (see below), whose sum is σ = 6634812824640. Its totient is φ = 1577483514880.

The previous prime is 3261566265613. The next prime is 3261566265637. The reversal of 3261566265632 is 2365626651623.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (3261566265637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69093494 + ... + 69140682.

It is an arithmetic number, because the mean of its divisors is an integer number (69112633590).

Almost surely, 2^{3261566265632} is an apocalyptic number.

3261566265632 is a gapful number since it is divisible by the number (32) 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 3261566265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317406412320).

3261566265632 is an abundant number, since it is smaller than the sum of its proper divisors (3373246559008).

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

3261566265632 is a wasteful number, since it uses less digits than its factorization.

3261566265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47826 (or 47818 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 53.

The spelling of 3261566265632 in words is "three trillion, two hundred sixty-one billion, five hundred sixty-six million, two hundred sixty-five thousand, six hundred thirty-two".