3326281096320 has 1920 divisors, whose sum is σ = 14976655626240. Its totient is φ = 697314852864.

The previous prime is 3326281096289. The next prime is 3326281096331. The reversal of 3326281096320 is 236901826233.

3326281096320 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 2 + 8 + 1 + 0 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3326281096320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 8684806849 + ... + 8684807231.

It is an arithmetic number, because the mean of its divisors is an integer number (7800341472).

Almost surely, 2^{3326281096320} is an apocalyptic number.

3326281096320 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 3326281096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488327813120).

3326281096320 is an abundant number, since it is smaller than the sum of its proper divisors (11650374529920).

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

3326281096320 is a wasteful number, since it uses less digits than its factorization.

3326281096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3326281096320 in words is "three trillion, three hundred twenty-six billion, two hundred eighty-one million, ninety-six thousand, three hundred twenty".