378812160 has 288 divisors, whose sum is σ = 1370134080. Its totient is φ = 99090432.

The previous prime is 378812153. The next prime is 378812191. The reversal of 378812160 is 61218873.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352264 + ... + 3352376.

It is an arithmetic number, because the mean of its divisors is an integer number (4757410).

Almost surely, 2^378812160 is an apocalyptic number.

378812160 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 378812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685067040).

378812160 is an abundant number, since it is smaller than the sum of its proper divisors (991321920).

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

378812160 is a wasteful number, since it uses less digits than its factorization.

378812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 378812160 is about 19463.0973896757. The cubic root of 378812160 is about 723.5601451060.

The spelling of 378812160 in words is "three hundred seventy-eight million, eight hundred twelve thousand, one hundred sixty".