3261323520000 has 3840 divisors, whose sum is σ = 15989951577600. Its totient is φ = 637009920000.

The previous prime is 3261323519953. The next prime is 3261323520041. The reversal of 3261323520000 is 253231623.

3261323520000 is a `hidden beast` number, since 3 + 2 + 6 + 132 + 3 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×3261323520000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53464319970 + ... + 53464320030.

It is an arithmetic number, because the mean of its divisors is an integer number (4164049890).

Almost surely, 2^{3261323520000} is an apocalyptic number.

3261323520000 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 3261323520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994975788800).

3261323520000 is an abundant number, since it is smaller than the sum of its proper divisors (12728628057600).

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

3261323520000 is a wasteful number, since it uses less digits than its factorization.

3261323520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 3261323520000 its reverse (253231623), we get a palindrome (3261576751623).

The spelling of 3261323520000 in words is "three trillion, two hundred sixty-one billion, three hundred twenty-three million, five hundred twenty thousand".