38006561 has 8 divisors (see below), whose sum is σ = 38875200. Its totient is φ = 37145520.

The previous prime is 38006537. The next prime is 38006581. The reversal of 38006561 is 16560083.

38006561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 38006561 - 2¹⁰ = 38005537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38006581) 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, 8900 + ... + 12458.

It is an arithmetic number, because the mean of its divisors is an integer number (4859400).

Almost surely, 2^38006561 is an apocalyptic number.

It is an amenable number.

38006561 is a deficient number, since it is larger than the sum of its proper divisors (868639).

38006561 is a wasteful number, since it uses less digits than its factorization.

38006561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 38006561 is about 6164.9461473723. The cubic root of 38006561 is about 336.2168886196.

The spelling of 38006561 in words is "thirty-eight million, six thousand, five hundred sixty-one".