378224704 has 189 divisors, whose sum is σ = 948953271. Its totient is φ = 149360640.

The previous prime is 378224681. The next prime is 378224731. The reversal of 378224704 is 407422873.

The square root of 378224704 is 19448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 374809600 = 1848^2 + 19360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22248504 + ... + 22248520.

Almost surely, 2^378224704 is an apocalyptic number.

378224704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

378224704 is the 19448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378224704

378224704 is an abundant number, since it is smaller than the sum of its proper divisors (570728567).

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

378224704 is a wasteful number, since it uses less digits than its factorization.

378224704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The cubic root of 378224704 is about 723.1859229907.

The spelling of 378224704 in words is "three hundred seventy-eight million, two hundred twenty-four thousand, seven hundred four".