378000084 has 96 divisors (see below), whose sum is σ = 1103993856. Its totient is φ = 97793280.

The previous prime is 378000071. The next prime is 378000089. The reversal of 378000084 is 480000873.

378000084 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

378000084 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378000089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288559 + ... + 289865.

It is an arithmetic number, because the mean of its divisors is an integer number (11499936).

Almost surely, 2^378000084 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 378000084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551996928).

378000084 is an abundant number, since it is smaller than the sum of its proper divisors (725993772).

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

378000084 is a wasteful number, since it uses less digits than its factorization.

378000084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 378000084 is about 19442.2242554704. The cubic root of 378000084 is about 723.0427328113.

It can be divided in two parts, 3 and 78000084, that added together give a palindrome (78000087).

The spelling of 378000084 in words is "three hundred seventy-eight million, eighty-four", and thus it is an aban number.