38318976 has 192 divisors, whose sum is σ = 120931200. Its totient is φ = 11612160.

The previous prime is 38318971. The next prime is 38319011. The reversal of 38318976 is 67981383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38318971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035630 + ... + 1035666.

It is an arithmetic number, because the mean of its divisors is an integer number (629850).

Almost surely, 2^38318976 is an apocalyptic number.

38318976 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 38318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60465600).

38318976 is an abundant number, since it is smaller than the sum of its proper divisors (82612224).

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

38318976 is a wasteful number, since it uses less digits than its factorization.

38318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 38318976 is about 6190.2323058186. The cubic root of 38318976 is about 337.1356133107.

The spelling of 38318976 in words is "thirty-eight million, three hundred eighteen thousand, nine hundred seventy-six".