388635552 has 72 divisors (see below), whose sum is σ = 1108991520. Its totient is φ = 129098880.

The previous prime is 388635517. The next prime is 388635571. The reversal of 388635552 is 255536883.

388635552 is a `hidden beast` number, since 3 + 8 + 8 + 635 + 5 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 388635498 and 388635507.

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, 87399 + ... + 91737.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 2^388635552 is an apocalyptic number.

388635552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388635552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554495760).

388635552 is an abundant number, since it is smaller than the sum of its proper divisors (720355968).

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

388635552 is a wasteful number, since it uses less digits than its factorization.

388635552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4655 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 388635552 is about 19713.8416347499. The cubic root of 388635552 is about 729.7613231104.

The spelling of 388635552 in words is "three hundred eighty-eight million, six hundred thirty-five thousand, five hundred fifty-two".