387604705600 has 672 divisors, whose sum is σ = 1205406849024. Its totient is φ = 119616307200.

The previous prime is 387604705567. The next prime is 387604705601. The reversal of 387604705600 is 6507406783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387604705601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572532462 + ... + 572533138.

It is an arithmetic number, because the mean of its divisors is an integer number (1793760192).

Almost surely, 2^387604705600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387604705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602703424512).

387604705600 is an abundant number, since it is smaller than the sum of its proper divisors (817802143424).

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

387604705600 is a wasteful number, since it uses less digits than its factorization.

387604705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 387604705600 in words is "three hundred eighty-seven billion, six hundred four million, seven hundred five thousand, six hundred".