3261028280832 has 960 divisors, whose sum is σ = 11717880007680. Its totient is φ = 891813888000.

The previous prime is 3261028280777. The next prime is 3261028280833. The reversal of 3261028280832 is 2380828201623.

It is a happy number.

3261028280832 is a `hidden beast` number, since 3 + 2 + 610 + 2 + 8 + 28 + 0 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×3261028280832² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3261028280833) 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 95 ways as a sum of consecutive naturals, for example, 2036868832 + ... + 2036870432.

It is an arithmetic number, because the mean of its divisors is an integer number (12206125008).

Almost surely, 2^{3261028280832} is an apocalyptic number.

3261028280832 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 3261028280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858940003840).

3261028280832 is an abundant number, since it is smaller than the sum of its proper divisors (8456851726848).

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

3261028280832 is a wasteful number, since it uses less digits than its factorization.

3261028280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3261028280832 in words is "three trillion, two hundred sixty-one billion, twenty-eight million, two hundred eighty thousand, eight hundred thirty-two".