378688000 has 160 divisors (see below), whose sum is σ = 969656688. Its totient is φ = 147456000.

The previous prime is 378687997. The next prime is 378688043. The reversal of 378688000 is 886873.

It can be written as a sum of positive squares in 8 ways, for example, as 8202496 + 370485504 = 2864^2 + 19248^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903952 + ... + 3904048.

Almost surely, 2^378688000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484828344).

378688000 is an abundant number, since it is smaller than the sum of its proper divisors (590968688).

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

378688000 is an frugal number, since it uses more digits than its factorization.

378688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 378688000 is about 19459.9075023495. The cubic root of 378688000 is about 723.4810847748.

The spelling of 378688000 in words is "three hundred seventy-eight million, six hundred eighty-eight thousand".