388656000 has 192 divisors, whose sum is σ = 1396278000. Its totient is φ = 103603200.

The previous prime is 388655987. The next prime is 388656013. The reversal of 388656000 is 656883.

It is an interprime number because it is at equal distance from previous prime (388655987) and next prime (388656013).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 142651 + ... + 145349.

Almost surely, 2^388656000 is an apocalyptic number.

388656000 is a gapful number since it is divisible by the number (30) 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 388656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698139000).

388656000 is an abundant number, since it is smaller than the sum of its proper divisors (1007622000).

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

388656000 is a wasteful number, since it uses less digits than its factorization.

388656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 388656000 is about 19714.3602483063. The cubic root of 388656000 is about 729.7741216460.

The spelling of 388656000 in words is "three hundred eighty-eight million, six hundred fifty-six thousand".