38714628585600 has 672 divisors, whose sum is σ = 156425832681840. Its totient is φ = 9385358284800.

The previous prime is 38714628585569. The next prime is 38714628585617. The reversal of 38714628585600 is 658582641783.

38714628585600 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 4 + 62 + 8 + 5 + 8 + 560 + 0 = 666.

38714628585600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 24906447 + ... + 26415153.

Almost surely, 2^{38714628585600} is an apocalyptic number.

38714628585600 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 38714628585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78212916340920).

38714628585600 is an abundant number, since it is smaller than the sum of its proper divisors (117711204096240).

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

38714628585600 is a wasteful number, since it uses less digits than its factorization.

38714628585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508760 (or 1508728 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 38714628585600 in words is "thirty-eight trillion, seven hundred fourteen billion, six hundred twenty-eight million, five hundred eighty-five thousand, six hundred".