38928384001 has 8 divisors (see below), whose sum is σ = 43368491880. Its totient is φ = 34694792832.

The previous prime is 38928383999. The next prime is 38928384017. The reversal of 38928384001 is 10048382983.

It can be written as a sum of positive squares in 4 ways, for example, as 957964401 + 37970419600 = 30951^2 + 194860^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38928384001 - 2¹ = 38928383999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38928384601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51628780 + ... + 51629533.

It is an arithmetic number, because the mean of its divisors is an integer number (5421061485).

It is a Proth number, since it is equal to 37125 ⋅ 2²⁰ + 1 and 37125 < 2²⁰.

Almost surely, 2^38928384001 is an apocalyptic number.

It is an amenable number.

38928384001 is a deficient number, since it is larger than the sum of its proper divisors (4440107879).

38928384001 is a wasteful number, since it uses less digits than its factorization.

38928384001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103258355.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 38928384001 in words is "thirty-eight billion, nine hundred twenty-eight million, three hundred eighty-four thousand, one".