38205801 has 24 divisors (see below), whose sum is σ = 56833920. Its totient is φ = 24718176.

The previous prime is 38205787. The next prime is 38205821. The reversal of 38205801 is 10850283.

It is a happy number.

38205801 is a `hidden beast` number, since 3 + 82 + 0 + 580 + 1 = 666.

It is not a de Polignac number, because 38205801 - 2⁹ = 38205289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38205821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103920 + ... + 104286.

It is an arithmetic number, because the mean of its divisors is an integer number (2368080).

Almost surely, 2^38205801 is an apocalyptic number.

It is an amenable number.

38205801 is a deficient number, since it is larger than the sum of its proper divisors (18628119).

38205801 is a wasteful number, since it uses less digits than its factorization.

38205801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 38205801 is about 6181.0841282092. The cubic root of 38205801 is about 336.8033762777.

The spelling of 38205801 in words is "thirty-eight million, two hundred five thousand, eight hundred one".