38788480 has 32 divisors (see below), whose sum is σ = 92730240. Its totient is φ = 15515136.

The previous prime is 38788459. The next prime is 38788487. The reversal of 38788480 is 8488783.

38788480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 38788480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38788487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29664 + ... + 30943.

It is an arithmetic number, because the mean of its divisors is an integer number (2897820).

Almost surely, 2^38788480 is an apocalyptic number.

It is an amenable number.

38788480 is an abundant number, since it is smaller than the sum of its proper divisors (53941760).

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

38788480 is an equidigital number, since it uses as much as digits as its factorization.

38788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60626 (or 60614 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 38788480 is about 6228.0398200397. The cubic root of 38788480 is about 338.5069479231.

The spelling of 38788480 in words is "thirty-eight million, seven hundred eighty-eight thousand, four hundred eighty".