38586772224 has 1080 divisors, whose sum is σ = 156575877920. Its totient is φ = 9251573760.

The previous prime is 38586772223. The next prime is 38586772229. The reversal of 38586772224 is 42227768583.

38586772224 is a `hidden beast` number, since 38 + 586 + 7 + 7 + 2 + 2 + 24 = 666.

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

Its product of digits (9031680) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (38586772223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2968213242 + ... + 2968213254.

Almost surely, 2^38586772224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38586772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78287938960).

38586772224 is an abundant number, since it is smaller than the sum of its proper divisors (117989105696).

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

38586772224 is an equidigital number, since it uses as much as digits as its factorization.

38586772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 38586772224 in words is "thirty-eight billion, five hundred eighty-six million, seven hundred seventy-two thousand, two hundred twenty-four".