378364800 has 192 divisors, whose sum is σ = 1359912960. Its totient is φ = 91699200.

The previous prime is 378364799. The next prime is 378364807. The reversal of 378364800 is 8463873.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378364807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103809 + ... + 107391.

It is an arithmetic number, because the mean of its divisors is an integer number (7082880).

Almost surely, 2^378364800 is an apocalyptic number.

378364800 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 378364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679956480).

378364800 is an abundant number, since it is smaller than the sum of its proper divisors (981548160).

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

378364800 is a wasteful number, since it uses less digits than its factorization.

378364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 378364800 is about 19451.6014764852. The cubic root of 378364800 is about 723.2752023241.

The spelling of 378364800 in words is "three hundred seventy-eight million, three hundred sixty-four thousand, eight hundred".