3220828416000 has 1152 divisors, whose sum is σ = 12590130309120. Its totient is φ = 787267584000.

The previous prime is 3220828415989. The next prime is 3220828416031. The reversal of 3220828416000 is 6148280223.

3220828416000 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 8 + 2 + 8 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 5720831719 + ... + 5720832281.

It is an arithmetic number, because the mean of its divisors is an integer number (10928932560).

Almost surely, 2^{3220828416000} is an apocalyptic number.

3220828416000 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 3220828416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295065154560).

3220828416000 is an abundant number, since it is smaller than the sum of its proper divisors (9369301893120).

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

3220828416000 is a wasteful number, since it uses less digits than its factorization.

3220828416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3220828416000 in words is "three trillion, two hundred twenty billion, eight hundred twenty-eight million, four hundred sixteen thousand".