378642816 has 96 divisors (see below), whose sum is σ = 1120908600. Its totient is φ = 125832960.

The previous prime is 378642791. The next prime is 378642829. The reversal of 378642816 is 618246873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (387072) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143771 + ... + 1144101.

Almost surely, 2^378642816 is an apocalyptic number.

378642816 is a gapful number since it is divisible by the number (36) 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 378642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560454300).

378642816 is an abundant number, since it is smaller than the sum of its proper divisors (742265784).

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

378642816 is an frugal number, since it uses more digits than its factorization.

378642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 336 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 378642816 is about 19458.7465166696. The cubic root of 378642816 is about 723.4523090460.

The spelling of 378642816 in words is "three hundred seventy-eight million, six hundred forty-two thousand, eight hundred sixteen".