387868435200 has 648 divisors, whose sum is σ = 1443860514096. Its totient is φ = 103016448000.

The previous prime is 387868435187. The next prime is 387868435303. The reversal of 387868435200 is 2534868783.

387868435200 is a `hidden beast` number, since 3 + 8 + 78 + 6 + 8 + 43 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 716946930 + ... + 716947470.

Almost surely, 2^387868435200 is an apocalyptic number.

387868435200 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 387868435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721930257048).

387868435200 is an abundant number, since it is smaller than the sum of its proper divisors (1055992078896).

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

387868435200 is an equidigital number, since it uses as much as digits as its factorization.

387868435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 387868435200 in words is "three hundred eighty-seven billion, eight hundred sixty-eight million, four hundred thirty-five thousand, two hundred".