378761328 has 120 divisors (see below), whose sum is σ = 1161104256. Its totient is φ = 114307200.

The previous prime is 378761293. The next prime is 378761351. The reversal of 378761328 is 823167873.

378761328 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 613 + 28 = 666.

378761328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771163 + ... + 771653.

Almost surely, 2^378761328 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 378761328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580552128).

378761328 is an abundant number, since it is smaller than the sum of its proper divisors (782342928).

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

378761328 is a wasteful number, since it uses less digits than its factorization.

378761328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 378761328 is about 19461.7914899939. The cubic root of 378761328 is about 723.5277793247.

It can be divided in two parts, 37876 and 1328, that added together give a square (39204 = 198²).

The spelling of 378761328 in words is "three hundred seventy-eight million, seven hundred sixty-one thousand, three hundred twenty-eight".