38389800960 has 1344 divisors, whose sum is σ = 171746265600. Its totient is φ = 8026324992.

The previous prime is 38389800949. The next prime is 38389800961. The reversal of 38389800960 is 6900898383.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38389800897 and 38389800906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38389800961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323786226 + ... + 1323786254.

It is an arithmetic number, because the mean of its divisors is an integer number (127787400).

Almost surely, 2^38389800960 is an apocalyptic number.

38389800960 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 38389800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85873132800).

38389800960 is an abundant number, since it is smaller than the sum of its proper divisors (133356464640).

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

38389800960 is an equidigital number, since it uses as much as digits as its factorization.

38389800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38389800960 in words is "thirty-eight billion, three hundred eighty-nine million, eight hundred thousand, nine hundred sixty".