378000288 has 144 divisors (see below), whose sum is σ = 1162717920. Its totient is φ = 116080128.

The previous prime is 378000283. The next prime is 378000299. The reversal of 378000288 is 882000873.

378000288 is a `hidden beast` number, since 378 + 0 + 0 + 0 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (378000281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201531 + ... + 203397.

It is an arithmetic number, because the mean of its divisors is an integer number (8074430).

Almost surely, 2^378000288 is an apocalyptic number.

378000288 is a gapful number since it is divisible by the number (38) 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 378000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581358960).

378000288 is an abundant number, since it is smaller than the sum of its proper divisors (784717632).

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

378000288 is a wasteful number, since it uses less digits than its factorization.

378000288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 378000288 is about 19442.2295017830. The cubic root of 378000288 is about 723.0428628824.

The spelling of 378000288 in words is "three hundred seventy-eight million, two hundred eighty-eight", and thus it is an aban number.