38710656000 has 704 divisors, whose sum is σ = 149600655360. Its totient is φ = 9853747200.

The previous prime is 38710655989. The next prime is 38710656011. The reversal of 38710656000 is 65601783.

38710656000 is a `hidden beast` number, since 3 + 87 + 10 + 6 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38710655989) and next prime (38710656011).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79487757 + ... + 79488243.

Almost surely, 2^38710656000 is an apocalyptic number.

38710656000 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 38710656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74800327680).

38710656000 is an abundant number, since it is smaller than the sum of its proper divisors (110889999360).

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

38710656000 is a wasteful number, since it uses less digits than its factorization.

38710656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 38710656000 in words is "thirty-eight billion, seven hundred ten million, six hundred fifty-six thousand".