38668960 has 96 divisors (see below), whose sum is σ = 101025792. Its totient is φ = 13870080.

The previous prime is 38668951. The next prime is 38668963. The reversal of 38668960 is 6986683.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38668960.

It is not an unprimeable number, because it can be changed into a prime (38668963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223434 + ... + 223606.

It is an arithmetic number, because the mean of its divisors is an integer number (1052352).

Almost surely, 2^38668960 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 38668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50512896).

38668960 is an abundant number, since it is smaller than the sum of its proper divisors (62356832).

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

38668960 is a wasteful number, since it uses less digits than its factorization.

38668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 38668960 is about 6218.4371026810. The cubic root of 38668960 is about 338.1589066418.

The spelling of 38668960 in words is "thirty-eight million, six hundred sixty-eight thousand, nine hundred sixty".