387983017200 has 720 divisors, whose sum is σ = 1369988315136. Its totient is φ = 93741926400.

The previous prime is 387983017193. The next prime is 387983017223. The reversal of 387983017200 is 2710389783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 387983017200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2242676314 + ... + 2242676486.

Almost surely, 2^387983017200 is an apocalyptic number.

387983017200 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 387983017200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684994157568).

387983017200 is an abundant number, since it is smaller than the sum of its proper divisors (982005297936).

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

387983017200 is a wasteful number, since it uses less digits than its factorization.

387983017200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 387983017200 in words is "three hundred eighty-seven billion, nine hundred eighty-three million, seventeen thousand, two hundred".