38333856 has 96 divisors (see below), whose sum is σ = 113412096. Its totient is φ = 11232000.

The previous prime is 38333839. The next prime is 38333857. The reversal of 38333856 is 65833383.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (38333857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32151 + ... + 33321.

It is an arithmetic number, because the mean of its divisors is an integer number (1181376).

Almost surely, 2^38333856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38333856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56706048).

38333856 is an abundant number, since it is smaller than the sum of its proper divisors (75078240).

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

38333856 is a wasteful number, since it uses less digits than its factorization.

38333856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 38333856 is about 6191.4340826661. The cubic root of 38333856 is about 337.1792464245.

The spelling of 38333856 in words is "thirty-eight million, three hundred thirty-three thousand, eight hundred fifty-six".