38205820 has 24 divisors (see below), whose sum is σ = 80353728. Its totient is φ = 15259200.

The previous prime is 38205787. The next prime is 38205821. The reversal of 38205820 is 2850283.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19485 + ... + 21355.

It is an arithmetic number, because the mean of its divisors is an integer number (3348072).

Almost surely, 2^38205820 is an apocalyptic number.

It is an amenable number.

38205820 is an abundant number, since it is smaller than the sum of its proper divisors (42147908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38205820 is a wasteful number, since it uses less digits than its factorization.

38205820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 38205820 is about 6181.0856651562. The cubic root of 38205820 is about 336.8034321092.

The spelling of 38205820 in words is "thirty-eight million, two hundred five thousand, eight hundred twenty".