38795639470304 has 96 divisors (see below), whose sum is σ = 78797698721280. Its totient is φ = 18791341632000.

The previous prime is 38795639470283. The next prime is 38795639470319. The reversal of 38795639470304 is 40307493659783.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130958702 + ... + 131254610.

It is an arithmetic number, because the mean of its divisors is an integer number (820809361680).

Almost surely, 2^{38795639470304} 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 38795639470304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398849360640).

38795639470304 is an abundant number, since it is smaller than the sum of its proper divisors (40002059250976).

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

38795639470304 is a wasteful number, since it uses less digits than its factorization.

38795639470304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296744 (or 296736 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 68.

The spelling of 38795639470304 in words is "thirty-eight trillion, seven hundred ninety-five billion, six hundred thirty-nine million, four hundred seventy thousand, three hundred four".