38640288 has 24 divisors (see below), whose sum is σ = 101431008. Its totient is φ = 12880064.

The previous prime is 38640271. The next prime is 38640289. The reversal of 38640288 is 88204683.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (38640289) 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 3 ways as a sum of consecutive naturals, for example, 201156 + ... + 201347.

It is an arithmetic number, because the mean of its divisors is an integer number (4226292).

Almost surely, 2^38640288 is an apocalyptic number.

It is an amenable number.

38640288 is an abundant number, since it is smaller than the sum of its proper divisors (62790720).

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

38640288 is a wasteful number, since it uses less digits than its factorization.

38640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402516 (or 402508 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38640288 is about 6216.1312727451. The cubic root of 38640288 is about 338.0753073800.

The spelling of 38640288 in words is "thirty-eight million, six hundred forty thousand, two hundred eighty-eight".