387867916800 has 1200 divisors, whose sum is σ = 1767233056512. Its totient is φ = 81815961600.

The previous prime is 387867916771. The next prime is 387867916811. The reversal of 387867916800 is 8619768783.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94346745 + ... + 94350855.

Almost surely, 2^387867916800 is an apocalyptic number.

387867916800 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 387867916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883616528256).

387867916800 is an abundant number, since it is smaller than the sum of its proper divisors (1379365139712).

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

387867916800 is a wasteful number, since it uses less digits than its factorization.

387867916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 387867916800 in words is "three hundred eighty-seven billion, eight hundred sixty-seven million, nine hundred sixteen thousand, eight hundred".