3222275189760 has 2112 divisors, whose sum is σ = 13596492349440. Its totient is φ = 696729600000.

The previous prime is 3222275189753. The next prime is 3222275189773. The reversal of 3222275189760 is 679815722223.

3222275189760 is a `hidden beast` number, since 3 + 222 + 275 + 1 + 8 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a junction number, because it is equal to n+sod(n) for n = 3222275189697 and 3222275189706.

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 191 ways as a sum of consecutive naturals, for example, 12837749635 + ... + 12837749885.

It is an arithmetic number, because the mean of its divisors is an integer number (6437733120).

Almost surely, 2^{3222275189760} is an apocalyptic number.

3222275189760 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 3222275189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798246174720).

3222275189760 is an abundant number, since it is smaller than the sum of its proper divisors (10374217159680).

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

3222275189760 is a wasteful number, since it uses less digits than its factorization.

3222275189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3222275189760 in words is "three trillion, two hundred twenty-two billion, two hundred seventy-five million, one hundred eighty-nine thousand, seven hundred sixty".