378083160 has 256 divisors, whose sum is σ = 1551513600. Its totient is φ = 79750656.

The previous prime is 378083149. The next prime is 378083171. The reversal of 378083160 is 61380873.

378083160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378083149) and next prime (378083171).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 96357 + ... + 100203.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600).

Almost surely, 2^378083160 is an apocalyptic number.

378083160 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 378083160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775756800).

378083160 is an abundant number, since it is smaller than the sum of its proper divisors (1173430440).

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

378083160 is a wasteful number, since it uses less digits than its factorization.

378083160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 378083160 is about 19444.3606220415. The cubic root of 378083160 is about 723.0956984945.

The spelling of 378083160 in words is "three hundred seventy-eight million, eighty-three thousand, one hundred sixty".