387912000 has 224 divisors, whose sum is σ = 1464503040. Its totient is φ = 88627200.

The previous prime is 387911969. The next prime is 387912059. The reversal of 387912000 is 219783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166846 + ... + 169154.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^387912000 is an apocalyptic number.

387912000 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 387912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732251520).

387912000 is an abundant number, since it is smaller than the sum of its proper divisors (1076591040).

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

387912000 is a wasteful number, since it uses less digits than its factorization.

387912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 387912000 is about 19695.4817153580. The cubic root of 387912000 is about 729.3081579394.

The spelling of 387912000 in words is "three hundred eighty-seven million, nine hundred twelve thousand".