38686464 has 144 divisors (see below), whose sum is σ = 118960800. Its totient is φ = 12386304.

The previous prime is 38686463. The next prime is 38686507. The reversal of 38686464 is 46468683.

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 (38686463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200352 + ... + 200544.

Almost surely, 2^38686464 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 38686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59480400).

38686464 is an abundant number, since it is smaller than the sum of its proper divisors (80274336).

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

38686464 is a wasteful number, since it uses less digits than its factorization.

38686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 38686464 is about 6219.8443710434. The cubic root of 38686464 is about 338.2099229315.

The spelling of 38686464 in words is "thirty-eight million, six hundred eighty-six thousand, four hundred sixty-four".