38230579200 has 720 divisors, whose sum is σ = 147200344200. Its totient is φ = 8722841600.

The previous prime is 38230579151. The next prime is 38230579201. The reversal of 38230579200 is 297503283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38230579201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2248857592 + ... + 2248857608.

Almost surely, 2^38230579200 is an apocalyptic number.

38230579200 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 38230579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73600172100).

38230579200 is an abundant number, since it is smaller than the sum of its proper divisors (108969765000).

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

38230579200 is an equidigital number, since it uses as much as digits as its factorization.

38230579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 38230579200 in words is "thirty-eight billion, two hundred thirty million, five hundred seventy-nine thousand, two hundred".