38601360000 has 1600 divisors, whose sum is σ = 175817220480. Its totient is φ = 8211456000.

The previous prime is 38601359999. The next prime is 38601360011. The reversal of 38601360000 is 6310683.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 199 ways as a sum of consecutive naturals, for example, 1043279982 + ... + 1043280018.

Almost surely, 2^38601360000 is an apocalyptic number.

38601360000 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 38601360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87908610240).

38601360000 is an abundant number, since it is smaller than the sum of its proper divisors (137215860480).

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

38601360000 is an equidigital number, since it uses as much as digits as its factorization.

38601360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 38601360000 its reverse (6310683), we get a palindrome (38607670683).

The spelling of 38601360000 in words is "thirty-eight billion, six hundred one million, three hundred sixty thousand".