3220079616000 has 2688 divisors, whose sum is σ = 14060294277120. Its totient is φ = 721944576000.

The previous prime is 3220079615999. The next prime is 3220079616071. The reversal of 3220079616000 is 6169700223.

3220079616000 is a `hidden beast` number, since 32 + 2 + 0 + 0 + 7 + 9 + 616 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103873535985 + ... + 103873536015.

It is an arithmetic number, because the mean of its divisors is an integer number (5230764240).

Almost surely, 2^{3220079616000} is an apocalyptic number.

3220079616000 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 3220079616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030147138560).

3220079616000 is an abundant number, since it is smaller than the sum of its proper divisors (10840214661120).

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

3220079616000 is a wasteful number, since it uses less digits than its factorization.

3220079616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3220079616000 in words is "three trillion, two hundred twenty billion, seventy-nine million, six hundred sixteen thousand".