38220595200 has 462 divisors, whose sum is σ = 142115568549. Its totient is φ = 10192158720.

The previous prime is 38220595157. The next prime is 38220595201. The reversal of 38220595200 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 ⋅ (4!)² ⋅ (2!)⁷.

38220595200 is a `hidden beast` number, since 3 + 82 + 2 + 0 + 59 + 520 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37456183296 + 764411904 = 193536^2 + 27648^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138240.

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

It is not an unprimeable number, because it can be changed into a prime (38220595201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7644119038 + ... + 7644119042.

Almost surely, 2^38220595200 is an apocalyptic number.

38220595200 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 38220595200

38220595200 is an abundant number, since it is smaller than the sum of its proper divisors (103894973349).

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

38220595200 is an frugal number, since it uses more digits than its factorization.

38220595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

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

38220595200 divided by its product of nonzero digits (43200) gives a cube (884736 = 96³).

The spelling of 38220595200 in words is "thirty-eight billion, two hundred twenty million, five hundred ninety-five thousand, two hundred".