38204820 has 72 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 9650880.

The previous prime is 38204813. The next prime is 38204833. The reversal of 38204820 is 2840283.

38204820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2166 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^38204820 is an apocalyptic number.

38204820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38204820 is an abundant number, since it is smaller than the sum of its proper divisors (83793420).

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

38204820 is a wasteful number, since it uses less digits than its factorization.

38204820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11200 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38204820 is about 6181.0047726887. The cubic root of 38204820 is about 336.8004935833.

The spelling of 38204820 in words is "thirty-eight million, two hundred four thousand, eight hundred twenty".