3221948814660 has 144 divisors (see below), whose sum is σ = 10139516989056. Its totient is φ = 858821812992.

The previous prime is 3221948814649. The next prime is 3221948814673. The reversal of 3221948814660 is 664188491223.

3221948814660 is a `hidden beast` number, since 3 + 2 + 2 + 19 + 488 + 146 + 6 + 0 = 666.

3221948814660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3221948814597 and 3221948814606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11412769 + ... + 11691671.

It is an arithmetic number, because the mean of its divisors is an integer number (70413312424).

Almost surely, 2^{3221948814660} is an apocalyptic number.

3221948814660 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 3221948814660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069758494528).

3221948814660 is an abundant number, since it is smaller than the sum of its proper divisors (6917568174396).

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

3221948814660 is a wasteful number, since it uses less digits than its factorization.

3221948814660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281304 (or 281290 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3221948814660 in words is "three trillion, two hundred twenty-one billion, nine hundred forty-eight million, eight hundred fourteen thousand, six hundred sixty".