38088000000 has 630 divisors, whose sum is σ = 143637751257. Its totient is φ = 9715200000.

The previous prime is 38087999987. The next prime is 38088000029. The reversal of 38088000000 is 88083.

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 can be written as a sum of positive squares in 4 ways, for example, as 6495070464 + 31592929536 = 80592^2 + 177744^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138000.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 1655999989 + ... + 1656000011.

Almost surely, 2^38088000000 is an apocalyptic number.

38088000000 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 38088000000

38088000000 is an abundant number, since it is smaller than the sum of its proper divisors (105549751257).

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

38088000000 is an frugal number, since it uses more digits than its factorization.

38088000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 38088000000 its reverse (88083), we get a palindrome (38088088083).

The spelling of 38088000000 in words is "thirty-eight billion, eighty-eight million", and thus it is an aban number and an uban number.