388320653952 has 768 divisors, whose sum is σ = 1425144913920. Its totient is φ = 98573967360.

The previous prime is 388320653947. The next prime is 388320653957. The reversal of 388320653952 is 259356023883.

388320653952 is a `hidden beast` number, since 3 + 8 + 83 + 20 + 6 + 539 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (388320653947) and next prime (388320653957).

It is not an unprimeable number, because it can be changed into a prime (388320653957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325326318 + ... + 1325326610.

It is an arithmetic number, because the mean of its divisors is an integer number (1855657440).

Almost surely, 2^388320653952 is an apocalyptic number.

388320653952 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 388320653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712572456960).

388320653952 is an abundant number, since it is smaller than the sum of its proper divisors (1036824259968).

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

388320653952 is a wasteful number, since it uses less digits than its factorization.

388320653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 388320653952 in words is "three hundred eighty-eight billion, three hundred twenty million, six hundred fifty-three thousand, nine hundred fifty-two".