38530251648 has 192 divisors, whose sum is σ = 126845053920. Its totient is φ = 10997268480.

The previous prime is 38530251631. The next prime is 38530251649. The reversal of 38530251648 is 84615203583.

38530251648 is a `hidden beast` number, since 3 + 8 + 530 + 2 + 51 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38530251649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10650736 + ... + 10654352.

Almost surely, 2^38530251648 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 38530251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63422526960).

38530251648 is an abundant number, since it is smaller than the sum of its proper divisors (88314802272).

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

38530251648 is a wasteful number, since it uses less digits than its factorization.

38530251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 38530251648 in words is "thirty-eight billion, five hundred thirty million, two hundred fifty-one thousand, six hundred forty-eight".