38503535616 has 528 divisors, whose sum is σ = 141344007168. Its totient is φ = 9820569600.

The previous prime is 38503535599. The next prime is 38503535617. The reversal of 38503535616 is 61653530583.

It is a happy number.

38503535616 is a `hidden beast` number, since 3 + 8 + 50 + 3 + 535 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38503535617) 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 47 ways as a sum of consecutive naturals, for example, 25997596 + ... + 25999076.

Almost surely, 2^38503535616 is an apocalyptic number.

38503535616 is a gapful number since it is divisible by the number (36) 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 38503535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70672003584).

38503535616 is an abundant number, since it is smaller than the sum of its proper divisors (102840471552).

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

38503535616 is a wasteful number, since it uses less digits than its factorization.

38503535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 38503535616 in words is "thirty-eight billion, five hundred three million, five hundred thirty-five thousand, six hundred sixteen".