388666368 has 132 divisors (see below), whose sum is σ = 1133309268. Its totient is φ = 128286720.

The previous prime is 388666363. The next prime is 388666387. The reversal of 388666368 is 863666883.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 357663744 = 5568^2 + 18912^2 .

It is a super-2 number, since 2×388666368² = 302123091228622848, which contains 22 as substring.

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 (388666361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1667980 + ... + 1668212.

Almost surely, 2^388666368 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 388666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566654634).

388666368 is an abundant number, since it is smaller than the sum of its proper divisors (744642900).

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

388666368 is a wasteful number, since it uses less digits than its factorization.

388666368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 419 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 388666368 is about 19714.6232020802. The cubic root of 388666368 is about 729.7806108728.

The spelling of 388666368 in words is "three hundred eighty-eight million, six hundred sixty-six thousand, three hundred sixty-eight".