38788331673600 has 3456 divisors, whose sum is σ = 161742147840000. Its totient is φ = 9087831244800.

The previous prime is 38788331673587. The next prime is 38788331673617. The reversal of 38788331673600 is 637613388783.

38788331673600 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 8 + 3 + 3 + 16 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 657429350371 + ... + 657429350429.

It is an arithmetic number, because the mean of its divisors is an integer number (46800390000).

Almost surely, 2^{38788331673600} is an apocalyptic number.

38788331673600 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 38788331673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80871073920000).

38788331673600 is an abundant number, since it is smaller than the sum of its proper divisors (122953816166400).

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

38788331673600 is a wasteful number, since it uses less digits than its factorization.

38788331673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 38788331673600 in words is "thirty-eight trillion, seven hundred eighty-eight billion, three hundred thirty-one million, six hundred seventy-three thousand, six hundred".