39806938961328 has 1280 divisors, whose sum is σ = 142800185917440. Its totient is φ = 9238634496000.

The previous prime is 39806938961291. The next prime is 39806938961351. The reversal of 39806938961328 is 82316983960893.

It is a super-3 number, since 3×39806938961328³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 39806938961328.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29997692601 + ... + 29997693927.

It is an arithmetic number, because the mean of its divisors is an integer number (111562645248).

Almost surely, 2^{39806938961328} 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 39806938961328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71400092958720).

39806938961328 is an abundant number, since it is smaller than the sum of its proper divisors (102993246956112).

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

39806938961328 is a wasteful number, since it uses less digits than its factorization.

39806938961328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 75.

The spelling of 39806938961328 in words is "thirty-nine trillion, eight hundred six billion, nine hundred thirty-eight million, nine hundred sixty-one thousand, three hundred twenty-eight".