38385864 has 96 divisors (see below), whose sum is σ = 120126240. Its totient is φ = 10944000.

The previous prime is 38385859. The next prime is 38385869. The reversal of 38385864 is 46858383.

38385864 is a `hidden beast` number, since 38 + 38 + 586 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38385859) and next prime (38385869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385869) 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 23 ways as a sum of consecutive naturals, for example, 12039 + ... + 14889.

It is an arithmetic number, because the mean of its divisors is an integer number (1251315).

Almost surely, 2^38385864 is an apocalyptic number.

38385864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38385864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60063120).

38385864 is an abundant number, since it is smaller than the sum of its proper divisors (81740376).

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

38385864 is a wasteful number, since it uses less digits than its factorization.

38385864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2884 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 38385864 is about 6195.6326553468. The cubic root of 38385864 is about 337.3316625531.

The spelling of 38385864 in words is "thirty-eight million, three hundred eighty-five thousand, eight hundred sixty-four".