38068880 has 80 divisors (see below), whose sum is σ = 93409200. Its totient is φ = 14407680.

The previous prime is 38068879. The next prime is 38068883. The reversal of 38068880 is 8886083.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12988816 + 25080064 = 3604^2 + 5008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (38068883) 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, 141386 + ... + 141654.

It is an arithmetic number, because the mean of its divisors is an integer number (1167615).

Almost surely, 2^38068880 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 38068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46704600).

38068880 is an abundant number, since it is smaller than the sum of its proper divisors (55340320).

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

38068880 is a wasteful number, since it uses less digits than its factorization.

38068880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 38068880 is about 6169.9983792542. The cubic root of 38068880 is about 336.4005521606.

The spelling of 38068880 in words is "thirty-eight million, sixty-eight thousand, eight hundred eighty".