387398000 has 80 divisors (see below), whose sum is σ = 1021943520. Its totient is φ = 140864000.

The previous prime is 387397999. The next prime is 387398003. The reversal of 387398000 is 893783.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387398003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13196 + ... + 30804.

It is an arithmetic number, because the mean of its divisors is an integer number (12774294).

Almost surely, 2^387398000 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 387398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510971760).

387398000 is an abundant number, since it is smaller than the sum of its proper divisors (634545520).

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

387398000 is a wasteful number, since it uses less digits than its factorization.

387398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17627 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 387398000 is about 19682.4287119248. The cubic root of 387398000 is about 728.9858940534.

The spelling of 387398000 in words is "three hundred eighty-seven million, three hundred ninety-eight thousand".