39128012064 has 192 divisors, whose sum is σ = 120318912000. Its totient is φ = 12336779520.

The previous prime is 39128012023. The next prime is 39128012071. The reversal of 39128012064 is 46021082193.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13311907 + ... + 13314845.

It is an arithmetic number, because the mean of its divisors is an integer number (626661000).

Almost surely, 2^39128012064 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 39128012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60159456000).

39128012064 is an abundant number, since it is smaller than the sum of its proper divisors (81190899936).

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

39128012064 is a wasteful number, since it uses less digits than its factorization.

39128012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 39128012064 in words is "thirty-nine billion, one hundred twenty-eight million, twelve thousand, sixty-four".