38386559232 has 864 divisors, whose sum is σ = 143444649600. Its totient is φ = 10057678848.

The previous prime is 38386559219. The next prime is 38386559257. The reversal of 38386559232 is 23295568383.

38386559232 is a `hidden beast` number, since 3 + 8 + 3 + 86 + 559 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339704008 + ... + 339704120.

It is an arithmetic number, because the mean of its divisors is an integer number (166023900).

Almost surely, 2^38386559232 is an apocalyptic number.

38386559232 is a gapful number since it is divisible by the number (32) 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 38386559232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71722324800).

38386559232 is an abundant number, since it is smaller than the sum of its proper divisors (105058090368).

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

38386559232 is a wasteful number, since it uses less digits than its factorization.

38386559232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 38386559232 in words is "thirty-eight billion, three hundred eighty-six million, five hundred fifty-nine thousand, two hundred thirty-two".