3938491785564 has 192 divisors, whose sum is σ = 11834077158400. Its totient is φ = 1109435636736.

The previous prime is 3938491785563. The next prime is 3938491785581. The reversal of 3938491785564 is 4655871948393.

3938491785564 is a `hidden beast` number, since 3 + 9 + 3 + 8 + 49 + 17 + 8 + 5 + 564 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3938491785492 and 3938491785501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938491785563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157659627 + ... + 157684605.

Almost surely, 2^{3938491785564} 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 3938491785564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917038579200).

3938491785564 is an abundant number, since it is smaller than the sum of its proper divisors (7895585372836).

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

3938491785564 is a wasteful number, since it uses less digits than its factorization.

3938491785564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27929 (or 27921 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 3938491785564 in words is "three trillion, nine hundred thirty-eight billion, four hundred ninety-one million, seven hundred eighty-five thousand, five hundred sixty-four".