38185668 has 60 divisors (see below), whose sum is σ = 105095760. Its totient is φ = 12056688.

The previous prime is 38185661. The next prime is 38185669. The reversal of 38185668 is 86658183.

38185668 is a `hidden beast` number, since 3 + 81 + 8 + 566 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (38185661) 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 19 ways as a sum of consecutive naturals, for example, 3055 + ... + 9257.

It is an arithmetic number, because the mean of its divisors is an integer number (1751596).

Almost surely, 2^38185668 is an apocalyptic number.

38185668 is a gapful number since it is divisible by the number (38) 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 38185668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52547880).

38185668 is an abundant number, since it is smaller than the sum of its proper divisors (66910092).

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

38185668 is a wasteful number, since it uses less digits than its factorization.

38185668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6227 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 38185668 is about 6179.4553158025. The cubic root of 38185668 is about 336.7442050381.

It can be divided in two parts, 381856 and 68, that added together give a square (381924 = 618²).

The spelling of 38185668 in words is "thirty-eight million, one hundred eighty-five thousand, six hundred sixty-eight".