38671810560 has 680 divisors, whose sum is σ = 146161990656. Its totient is φ = 9767485440.

The previous prime is 38671810549. The next prime is 38671810631. The reversal of 38671810560 is 6501817683.

38671810560 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 1 + 81 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 822804457 + ... + 822804503.

Almost surely, 2^38671810560 is an apocalyptic number.

38671810560 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 38671810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73080995328).

38671810560 is an abundant number, since it is smaller than the sum of its proper divisors (107490180096).

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

38671810560 is an frugal number, since it uses more digits than its factorization.

38671810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 38671810560 in words is "thirty-eight billion, six hundred seventy-one million, eight hundred ten thousand, five hundred sixty".