388253664 has 72 divisors (see below), whose sum is σ = 1107320760. Its totient is φ = 129040128.

The previous prime is 388253647. The next prime is 388253681. The reversal of 388253664 is 466352883.

It is a happy number.

388253664 is a `hidden beast` number, since 38 + 82 + 536 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (388253647) and next prime (388253681).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107374 + ... + 110930.

It is an arithmetic number, because the mean of its divisors is an integer number (15379455).

Almost surely, 2^388253664 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 388253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553660380).

388253664 is an abundant number, since it is smaller than the sum of its proper divisors (719067096).

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

388253664 is a wasteful number, since it uses less digits than its factorization.

388253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3941 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 388253664 is about 19704.1534707787. The cubic root of 388253664 is about 729.5222144104.

The spelling of 388253664 in words is "three hundred eighty-eight million, two hundred fifty-three thousand, six hundred sixty-four".