378161280 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 84639744.

The previous prime is 378161263. The next prime is 378161291. The reversal of 378161280 is 82161873.

378161280 is a `hidden beast` number, since 37 + 8 + 1 + 612 + 8 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3346504 + ... + 3346616.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^378161280 is an apocalyptic number.

378161280 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 378161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

378161280 is an abundant number, since it is smaller than the sum of its proper divisors (1145571840).

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

378161280 is a wasteful number, since it uses less digits than its factorization.

378161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

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

The square root of 378161280 is about 19446.3693269464. The cubic root of 378161280 is about 723.1454973675.

The spelling of 378161280 in words is "three hundred seventy-eight million, one hundred sixty-one thousand, two hundred eighty".