38686809600 has 960 divisors, whose sum is σ = 153927290880. Its totient is φ = 9488793600.

The previous prime is 38686809571. The next prime is 38686809607. The reversal of 38686809600 is 690868683.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38686809607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246412722 + ... + 246412878.

It is an arithmetic number, because the mean of its divisors is an integer number (160340928).

Almost surely, 2^38686809600 is an apocalyptic number.

38686809600 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 38686809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76963645440).

38686809600 is an abundant number, since it is smaller than the sum of its proper divisors (115240481280).

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

38686809600 is a wasteful number, since it uses less digits than its factorization.

38686809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38686809600 in words is "thirty-eight billion, six hundred eighty-six million, eight hundred nine thousand, six hundred".