38387505067600 has 180 divisors, whose sum is σ = 100854793258452. Its totient is φ = 14033510400000.

The previous prime is 38387505067577. The next prime is 38387505067607. The reversal of 38387505067600 is 676050578383.

It can be written as a sum of positive squares in 18 ways, for example, as 24166702049296 + 14220803018304 = 4915964^2 + 3771048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38387505067607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4016400 + ... + 9638800.

Almost surely, 2^{38387505067600} 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 38387505067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50427396629226).

38387505067600 is an abundant number, since it is smaller than the sum of its proper divisors (62467288190852).

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

38387505067600 is a wasteful number, since it uses less digits than its factorization.

38387505067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622546 (or 5622522 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 38387505067600 in words is "thirty-eight trillion, three hundred eighty-seven billion, five hundred five million, sixty-seven thousand, six hundred".