378806688 has 288 divisors, whose sum is σ = 1248234624. Its totient is φ = 108066816.

The previous prime is 378806669. The next prime is 378806707. The reversal of 378806688 is 886608873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (378806669) and next prime (378806707).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4563895 + ... + 4563977.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148).

Almost surely, 2^378806688 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 378806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

378806688 is an abundant number, since it is smaller than the sum of its proper divisors (869427936).

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

378806688 is a wasteful number, since it uses less digits than its factorization.

378806688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 378806688 is about 19462.9568154482. The cubic root of 378806688 is about 723.5566611099.

The spelling of 378806688 in words is "three hundred seventy-eight million, eight hundred six thousand, six hundred eighty-eight".