38725646401 has 8 divisors (see below), whose sum is σ = 42721726824. Its totient is φ = 34874878080.

The previous prime is 38725646353. The next prime is 38725646429. The reversal of 38725646401 is 10464652783.

It can be written as a sum of positive squares in 4 ways, for example, as 397404225 + 38328242176 = 19935^2 + 195776^2 .

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 38725646401 - 2¹⁷ = 38725515329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38725646101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36327466 + ... + 36328531.

It is an arithmetic number, because the mean of its divisors is an integer number (5340215853).

Almost surely, 2^38725646401 is an apocalyptic number.

It is an amenable number.

38725646401 is a deficient number, since it is larger than the sum of its proper divisors (3996080423).

38725646401 is a wasteful number, since it uses less digits than its factorization.

38725646401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72656051.

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 38725646401 in words is "thirty-eight billion, seven hundred twenty-five million, six hundred forty-six thousand, four hundred one".