388540800 has 240 divisors, whose sum is σ = 1434757500. Its totient is φ = 103541760.

The previous prime is 388540799. The next prime is 388540807. The reversal of 388540800 is 8045883.

388540800 is a `hidden beast` number, since 38 + 8 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388540807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258451 + ... + 259949.

Almost surely, 2^388540800 is an apocalyptic number.

388540800 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 388540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717378750).

388540800 is an abundant number, since it is smaller than the sum of its proper divisors (1046216700).

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

388540800 is a wasteful number, since it uses less digits than its factorization.

388540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 388540800 is about 19711.4383036855. The cubic root of 388540800 is about 729.7020113596.

The spelling of 388540800 in words is "three hundred eighty-eight million, five hundred forty thousand, eight hundred".