38066980 has 48 divisors (see below), whose sum is σ = 92123136. Its totient is φ = 12942720.

The previous prime is 38066947. The next prime is 38066981. The reversal of 38066980 is 8966083.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38066981) 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 15 ways as a sum of consecutive naturals, for example, 16710 + ... + 18850.

It is an arithmetic number, because the mean of its divisors is an integer number (1919232).

Almost surely, 2^38066980 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 38066980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568).

38066980 is an abundant number, since it is smaller than the sum of its proper divisors (54056156).

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

38066980 is a wasteful number, since it uses less digits than its factorization.

38066980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 38066980 is about 6169.8444064660. The cubic root of 38066980 is about 336.3949555361.

The spelling of 38066980 in words is "thirty-eight million, sixty-six thousand, nine hundred eighty".