387229427200 has 960 divisors, whose sum is σ = 1283636699136. Its totient is φ = 113000448000.

The previous prime is 387229427197. The next prime is 387229427203. The reversal of 387229427200 is 2724922783.

It is an interprime number because it is at equal distance from previous prime (387229427197) and next prime (387229427203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387229427203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2027379105 + ... + 2027379295.

Almost surely, 2^387229427200 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 387229427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641818349568).

387229427200 is an abundant number, since it is smaller than the sum of its proper divisors (896407271936).

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

387229427200 is a wasteful number, since it uses less digits than its factorization.

387229427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 387229427200 in words is "three hundred eighty-seven billion, two hundred twenty-nine million, four hundred twenty-seven thousand, two hundred".