38628360960 has 576 divisors, whose sum is σ = 146982764544. Its totient is φ = 8460288000.

The previous prime is 38628360949. The next prime is 38628360977. The reversal of 38628360960 is 6906382683.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125825127 + ... + 125825433.

Almost surely, 2^38628360960 is an apocalyptic number.

38628360960 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 38628360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73491382272).

38628360960 is an abundant number, since it is smaller than the sum of its proper divisors (108354403584).

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

38628360960 is a wasteful number, since it uses less digits than its factorization.

38628360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 38628360960 in words is "thirty-eight billion, six hundred twenty-eight million, three hundred sixty thousand, nine hundred sixty".