38775680 has 64 divisors (see below), whose sum is σ = 94921200. Its totient is φ = 15138816.

The previous prime is 38775673. The next prime is 38775683. The reversal of 38775680 is 8657783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38775683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26816 + ... + 28224.

Almost surely, 2^38775680 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 38775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47460600).

38775680 is an abundant number, since it is smaller than the sum of its proper divisors (56145520).

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

38775680 is a wasteful number, since it uses less digits than its factorization.

38775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 38775680 is about 6227.0121246068. The cubic root of 38775680 is about 338.4697086394.

It can be divided in two parts, 387 and 75680, that added together give a palindrome (76067).

The spelling of 38775680 in words is "thirty-eight million, seven hundred seventy-five thousand, six hundred eighty".