378642432 has 224 divisors, whose sum is σ = 1207885824. Its totient is φ = 103219200.

The previous prime is 378642413. The next prime is 378642437. The reversal of 378642432 is 234246873.

378642432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 (378642437) 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, 5332957 + ... + 5333027.

Almost surely, 2^378642432 is an apocalyptic number.

378642432 is a gapful number since it is divisible by the number (32) 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 378642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603942912).

378642432 is an abundant number, since it is smaller than the sum of its proper divisors (829243392).

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

378642432 is an equidigital number, since it uses as much as digits as its factorization.

378642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 378642432 is about 19458.7366496389. The cubic root of 378642432 is about 723.4520644832.

The spelling of 378642432 in words is "three hundred seventy-eight million, six hundred forty-two thousand, four hundred thirty-two".