378066096 has 80 divisors (see below), whose sum is σ = 1095465600. Its totient is φ = 124828992.

The previous prime is 378066089. The next prime is 378066097. The reversal of 378066096 is 690660873.

378066096 is a `hidden beast` number, since 37 + 8 + 0 + 6 + 609 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (378066097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42135 + ... + 50313.

It is an arithmetic number, because the mean of its divisors is an integer number (13693320).

Almost surely, 2^378066096 is an apocalyptic number.

378066096 is a gapful number since it is divisible by the number (36) 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 378066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547732800).

378066096 is an abundant number, since it is smaller than the sum of its proper divisors (717399504).

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

378066096 is a wasteful number, since it uses less digits than its factorization.

378066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 378066096 is about 19443.9218266275. The cubic root of 378066096 is about 723.0848198555.

The spelling of 378066096 in words is "three hundred seventy-eight million, sixty-six thousand, ninety-six".