378761160 has 64 divisors (see below), whose sum is σ = 1144627200. Its totient is φ = 100261376.

The previous prime is 378761147. The next prime is 378761167. The reversal of 378761160 is 61167873.

378761160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (378761167) 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, 4921 + ... + 27959.

It is an arithmetic number, because the mean of its divisors is an integer number (17884800).

Almost surely, 2^378761160 is an apocalyptic number.

378761160 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 378761160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572313600).

378761160 is an abundant number, since it is smaller than the sum of its proper divisors (765866040).

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

378761160 is a wasteful number, since it uses less digits than its factorization.

378761160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23190 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 378761160 is about 19461.7871738440. The cubic root of 378761160 is about 723.5276723508.

The spelling of 378761160 in words is "three hundred seventy-eight million, seven hundred sixty-one thousand, one hundred sixty".