378225792 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 97320960.

The previous prime is 378225791. The next prime is 378225797. The reversal of 378225792 is 297522873.

378225792 is a `hidden beast` number, since 3 + 78 + 2 + 2 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378225791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4249684 + ... + 4249772.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^378225792 is an apocalyptic number.

378225792 is a gapful number since it is divisible by the number (32) 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 378225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

378225792 is an abundant number, since it is smaller than the sum of its proper divisors (996571008).

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

378225792 is a wasteful number, since it uses less digits than its factorization.

378225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 378225792 is about 19448.0279720079. The cubic root of 378225792 is about 723.1866164281.

The spelling of 378225792 in words is "three hundred seventy-eight million, two hundred twenty-five thousand, seven hundred ninety-two".