3822059520000 has 840 divisors, whose sum is σ = 14321584372095. Its totient is φ = 1019215872000.

The previous prime is 3822059519989. The next prime is 3822059520067. The reversal of 3822059520000 is 259502283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (5!)² ⋅ (2!)⁹.

3822059520000 is a `hidden beast` number, since 3 + 82 + 2 + 0 + 59 + 520 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 883660161024 + 2938399358976 = 940032^2 + 1714176^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1382400.

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 34 ways as a sum of consecutive naturals, for example, 764411903998 + ... + 764411904002.

Almost surely, 2^{3822059520000} is an apocalyptic number.

3822059520000 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 3822059520000

3822059520000 is an abundant number, since it is smaller than the sum of its proper divisors (10499524852095).

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

3822059520000 is an frugal number, since it uses more digits than its factorization.

3822059520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 3822059520000 in words is "three trillion, eight hundred twenty-two billion, fifty-nine million, five hundred twenty thousand".