38289788160 has 288 divisors, whose sum is σ = 139444623360. Its totient is φ = 8870559744.

The previous prime is 38289788137. The next prime is 38289788189. The reversal of 38289788160 is 6188798283.

It is a super-2 number, since 2×38289788160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38289788094 and 38289788103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826081 + ... + 871199.

It is an arithmetic number, because the mean of its divisors is an integer number (484182720).

Almost surely, 2^38289788160 is an apocalyptic number.

38289788160 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 38289788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69722311680).

38289788160 is an abundant number, since it is smaller than the sum of its proper divisors (101154835200).

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

38289788160 is a wasteful number, since it uses less digits than its factorization.

38289788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45173 (or 45159 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 38289788160 in words is "thirty-eight billion, two hundred eighty-nine million, seven hundred eighty-eight thousand, one hundred sixty".