378045360 has 320 divisors, whose sum is σ = 1624181760. Its totient is φ = 78520320.

The previous prime is 378045347. The next prime is 378045377. The reversal of 378045360 is 63540873.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 165184 + ... + 167456.

It is an arithmetic number, because the mean of its divisors is an integer number (5075568).

Almost surely, 2^378045360 is an apocalyptic number.

378045360 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 378045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812090880).

378045360 is an abundant number, since it is smaller than the sum of its proper divisors (1246136400).

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

378045360 is a wasteful number, since it uses less digits than its factorization.

378045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 378045360 is about 19443.3885935554. The cubic root of 378045360 is about 723.0715998029.

The spelling of 378045360 in words is "three hundred seventy-eight million, forty-five thousand, three hundred sixty".