38664288 has 144 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 11354112.

The previous prime is 38664287. The next prime is 38664313. The reversal of 38664288 is 88246683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38664281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85888 + ... + 86336.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^38664288 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 38664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

38664288 is an abundant number, since it is smaller than the sum of its proper divisors (85168512).

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

38664288 is a wasteful number, since it uses less digits than its factorization.

38664288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 38664288 is about 6218.0614342414. The cubic root of 38664288 is about 338.1452872595.

The spelling of 38664288 in words is "thirty-eight million, six hundred sixty-four thousand, two hundred eighty-eight".