39643589890872 has 192 divisors, whose sum is σ = 119664650626560. Its totient is φ = 11753307648000.

The previous prime is 39643589890867. The next prime is 39643589890901. The reversal of 39643589890872 is 27809898534693.

39643589890872 is a `hidden beast` number, since 3 + 9 + 6 + 435 + 8 + 98 + 90 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×39643589890872² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39643589890791 and 39643589890800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102284247 + ... + 102671097.

It is an arithmetic number, because the mean of its divisors is an integer number (623253388680).

Almost surely, 2^{39643589890872} 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 39643589890872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59832325313280).

39643589890872 is an abundant number, since it is smaller than the sum of its proper divisors (80021060735688).

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

39643589890872 is a wasteful number, since it uses less digits than its factorization.

39643589890872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389674 (or 389667 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 39643589890872 in words is "thirty-nine trillion, six hundred forty-three billion, five hundred eighty-nine million, eight hundred ninety thousand, eight hundred seventy-two".