38666880 has 288 divisors, whose sum is σ = 156454740. Its totient is φ = 8773632.

The previous prime is 38666861. The next prime is 38666939. The reversal of 38666880 is 8866683.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 28224 = 6216^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282172 + ... + 282308.

Almost surely, 2^38666880 is an apocalyptic number.

38666880 is a gapful number since it is divisible by the number (30) 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 38666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78227370).

38666880 is an abundant number, since it is smaller than the sum of its proper divisors (117787860).

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

38666880 is a wasteful number, since it uses less digits than its factorization.

38666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 38666880 is about 6218.2698558361. The cubic root of 38666880 is about 338.1528433537.

The spelling of 38666880 in words is "thirty-eight million, six hundred sixty-six thousand, eight hundred eighty".