38636727360 has 448 divisors, whose sum is σ = 156077107200. Its totient is φ = 8027658240.

The previous prime is 38636727343. The next prime is 38636727377. The reversal of 38636727360 is 6372763683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38636727343) and next prime (38636727377).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616747 + ... + 3627413.

It is an arithmetic number, because the mean of its divisors is an integer number (348386400).

Almost surely, 2^38636727360 is an apocalyptic number.

38636727360 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 38636727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78038553600).

38636727360 is an abundant number, since it is smaller than the sum of its proper divisors (117440379840).

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

38636727360 is a wasteful number, since it uses less digits than its factorization.

38636727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 38636727360 in words is "thirty-eight billion, six hundred thirty-six million, seven hundred twenty-seven thousand, three hundred sixty".