378267960 has 256 divisors, whose sum is σ = 1383091200. Its totient is φ = 80842752.

The previous prime is 378267919. The next prime is 378267961. The reversal of 378267960 is 69762873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378267961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186434 + ... + 2186606.

It is an arithmetic number, because the mean of its divisors is an integer number (5402700).

Almost surely, 2^378267960 is an apocalyptic number.

378267960 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 378267960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691545600).

378267960 is an abundant number, since it is smaller than the sum of its proper divisors (1004823240).

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

378267960 is a wasteful number, since it uses less digits than its factorization.

378267960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 378267960 is about 19449.1120619940. The cubic root of 378267960 is about 723.2134912039.

The spelling of 378267960 in words is "three hundred seventy-eight million, two hundred sixty-seven thousand, nine hundred sixty".