39638304640 has 256 divisors, whose sum is σ = 109234656000. Its totient is φ = 13602816000.

The previous prime is 39638304637. The next prime is 39638304661. The reversal of 39638304640 is 4640383693.

It is a super-3 number, since 3×39638304640³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53637391 + ... + 53638129.

It is an arithmetic number, because the mean of its divisors is an integer number (426697875).

Almost surely, 2^39638304640 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 39638304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54617328000).

39638304640 is an abundant number, since it is smaller than the sum of its proper divisors (69596351360).

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

39638304640 is a wasteful number, since it uses less digits than its factorization.

39638304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 46.

The spelling of 39638304640 in words is "thirty-nine billion, six hundred thirty-eight million, three hundred four thousand, six hundred forty".