38846801 has 16 divisors (see below), whose sum is σ = 45519744. Its totient is φ = 32465664.

The previous prime is 38846789. The next prime is 38846807. The reversal of 38846801 is 10864883.

It is not a de Polignac number, because 38846801 - 2¹⁸ = 38584657 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38846807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52631 + ... + 53363.

It is an arithmetic number, because the mean of its divisors is an integer number (2844984).

Almost surely, 2^38846801 is an apocalyptic number.

It is an amenable number.

38846801 is a deficient number, since it is larger than the sum of its proper divisors (6672943).

38846801 is a wasteful number, since it uses less digits than its factorization.

38846801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 38846801 is about 6232.7201926607. The cubic root of 38846801 is about 338.6765186949.

The spelling of 38846801 in words is "thirty-eight million, eight hundred forty-six thousand, eight hundred one".