38711808000 has 624 divisors, whose sum is σ = 144585172992. Its totient is φ = 9953280000.

The previous prime is 38711807989. The next prime is 38711808019. The reversal of 38711808000 is 80811783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142847865 + ... + 142848135.

It is an arithmetic number, because the mean of its divisors is an integer number (231707008).

Almost surely, 2^38711808000 is an apocalyptic number.

38711808000 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 38711808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72292586496).

38711808000 is an abundant number, since it is smaller than the sum of its proper divisors (105873364992).

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

38711808000 is a wasteful number, since it uses less digits than its factorization.

38711808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 38711808000 in words is "thirty-eight billion, seven hundred eleven million, eight hundred eight thousand".