38686273920 has 1280 divisors, whose sum is σ = 172511539200. Its totient is φ = 8062156800.

The previous prime is 38686273909. The next prime is 38686273921. The reversal of 38686273920 is 2937268683.

It is a happy number.

38686273920 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 627 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38686273921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 213736230 + ... + 213736410.

It is an arithmetic number, because the mean of its divisors is an integer number (134774640).

Almost surely, 2^38686273920 is an apocalyptic number.

38686273920 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 38686273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86255769600).

38686273920 is an abundant number, since it is smaller than the sum of its proper divisors (133825265280).

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

38686273920 is a wasteful number, since it uses less digits than its factorization.

38686273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38686273920 in words is "thirty-eight billion, six hundred eighty-six million, two hundred seventy-three thousand, nine hundred twenty".