378904264704 has 405 divisors, whose sum is σ = 1278870156837. Its totient is φ = 107785617408.

The previous prime is 378904264573. The next prime is 378904264747. The reversal of 378904264704 is 407462409873.

The square root of 378904264704 is 615552.

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

378904264704 is a `hidden beast` number, since 378 + 9 + 0 + 4 + 264 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352893026304 + 26011238400 = 594048^2 + 161280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1654603662 + ... + 1654603890.

Almost surely, 2^378904264704 is an apocalyptic number.

378904264704 is the 615552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378904264704

378904264704 is an abundant number, since it is smaller than the sum of its proper divisors (899965892133).

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

378904264704 is an frugal number, since it uses more digits than its factorization.

378904264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 378904264704 in words is "three hundred seventy-eight billion, nine hundred four million, two hundred sixty-four thousand, seven hundred four".