38638405736964 has 384 divisors, whose sum is σ = 120226266316800. Its totient is φ = 10592962652160.

The previous prime is 38638405736963. The next prime is 38638405736969. The reversal of 38638405736964 is 46963750483683.

38638405736964 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 8 + 40 + 573 + 6 + 9 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38638405736892 and 38638405736901.

It is not an unprimeable number, because it can be changed into a prime (38638405736963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132804957 + ... + 133095579.

It is an arithmetic number, because the mean of its divisors is an integer number (313089235200).

Almost surely, 2^{38638405736964} is an apocalyptic number.

38638405736964 is a gapful number since it is divisible by the number (34) 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 38638405736964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60113133158400).

38638405736964 is an abundant number, since it is smaller than the sum of its proper divisors (81587860579836).

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

38638405736964 is a wasteful number, since it uses less digits than its factorization.

38638405736964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290920 (or 290912 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 38638405736964 in words is "thirty-eight trillion, six hundred thirty-eight billion, four hundred five million, seven hundred thirty-six thousand, nine hundred sixty-four".