38746608600 has 384 divisors, whose sum is σ = 143533670400. Its totient is φ = 8459942400.

The previous prime is 38746608599. The next prime is 38746608619. The reversal of 38746608600 is 680664783.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38746608600.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10283917 + ... + 10287683.

It is an arithmetic number, because the mean of its divisors is an integer number (373785600).

Almost surely, 2^38746608600 is an apocalyptic number.

38746608600 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 38746608600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71766835200).

38746608600 is an abundant number, since it is smaller than the sum of its proper divisors (104787061800).

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

38746608600 is a wasteful number, since it uses less digits than its factorization.

38746608600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 38746608600 in words is "thirty-eight billion, seven hundred forty-six million, six hundred eight thousand, six hundred".