378688128 has 128 divisors (see below), whose sum is σ = 1238133120. Its totient is φ = 99864576.

The previous prime is 378688117. The next prime is 378688129. The reversal of 378688128 is 821886873.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378688129) 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, 29526 + ... + 40362.

It is an arithmetic number, because the mean of its divisors is an integer number (9672915).

Almost surely, 2^378688128 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 378688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619066560).

378688128 is an abundant number, since it is smaller than the sum of its proper divisors (859444992).

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

378688128 is a wasteful number, since it uses less digits than its factorization.

378688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10874 (or 10862 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 378688128 is about 19459.9107911624. The cubic root of 378688128 is about 723.4811662892.

It can be divided in two parts, 378 and 688128, that multiplied together give a square (260112384 = 16128²).

The spelling of 378688128 in words is "three hundred seventy-eight million, six hundred eighty-eight thousand, one hundred twenty-eight".