39638712960 has 1024 divisors, whose sum is σ = 180862156800. Its totient is φ = 7970918400.

The previous prime is 39638712941. The next prime is 39638713013. The reversal of 39638712960 is 6921783693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 39638712897 and 39638712906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1278668145 + ... + 1278668175.

It is an arithmetic number, because the mean of its divisors is an integer number (176623200).

Almost surely, 2^39638712960 is an apocalyptic number.

39638712960 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 39638712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90431078400).

39638712960 is an abundant number, since it is smaller than the sum of its proper divisors (141223443840).

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

39638712960 is an equidigital number, since it uses as much as digits as its factorization.

39638712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 39638712960 in words is "thirty-nine billion, six hundred thirty-eight million, seven hundred twelve thousand, nine hundred sixty".