38655936 has 84 divisors (see below), whose sum is σ = 120892824. Its totient is φ = 11712000.

The previous prime is 38655923. The next prime is 38655961. The reversal of 38655936 is 63955683.

38655936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38655891 and 38655900.

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 11 ways as a sum of consecutive naturals, for example, 3286 + ... + 9386.

Almost surely, 2^38655936 is an apocalyptic number.

38655936 is a gapful number since it is divisible by the number (36) 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 38655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446412).

38655936 is an abundant number, since it is smaller than the sum of its proper divisors (82236888).

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

38655936 is a wasteful number, since it uses less digits than its factorization.

38655936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6117 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 38655936 is about 6217.3898060199. The cubic root of 38655936 is about 338.1209375476.

It can be divided in two parts, 3865 and 5936, that added together give a square (9801 = 99²).

The spelling of 38655936 in words is "thirty-eight million, six hundred fifty-five thousand, nine hundred thirty-six".