378808384 has 56 divisors (see below), whose sum is σ = 771360408. Its totient is φ = 184504320.

The previous prime is 378808363. The next prime is 378808393. The reversal of 378808384 is 483808873.

It can be written as a sum of positive squares in 4 ways, for example, as 7398400 + 371409984 = 2720^2 + 19272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613644 + ... + 614260.

It is an arithmetic number, because the mean of its divisors is an integer number (13774293).

Almost surely, 2^378808384 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 378808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385680204).

378808384 is an abundant number, since it is smaller than the sum of its proper divisors (392552024).

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

378808384 is a wasteful number, since it uses less digits than its factorization.

378808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 378808384 is about 19463.0003853466. Note that the first 3 decimals coincide. The cubic root of 378808384 is about 723.5577409486.

It can be divided in two parts, 37880 and 8384, that added together give a palindrome (46264).

The spelling of 378808384 in words is "three hundred seventy-eight million, eight hundred eight thousand, three hundred eighty-four".