388667664 has 120 divisors (see below), whose sum is σ = 1356169152. Its totient is φ = 100949760.

The previous prime is 388667663. The next prime is 388667683. The reversal of 388667664 is 466766883.

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

It is a self number, because there is not a number n which added to its sum of digits gives 388667664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388667663) 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, 6439 + ... + 28614.

Almost surely, 2^388667664 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 388667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678084576).

388667664 is an abundant number, since it is smaller than the sum of its proper divisors (967501488).

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

388667664 is a wasteful number, since it uses less digits than its factorization.

388667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35085 (or 35076 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 388667664 is about 19714.6560710554. The cubic root of 388667664 is about 729.7814220181.

The spelling of 388667664 in words is "three hundred eighty-eight million, six hundred sixty-seven thousand, six hundred sixty-four".