379865134224 has 45 divisors (see below), whose sum is σ = 1063115484249. Its totient is φ = 126619246080.

The previous prime is 379865134189. The next prime is 379865134237. The reversal of 379865134224 is 422431568973.

The square root of 379865134224 is 616332.

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

379865134224 is a `hidden beast` number, since 3 + 7 + 9 + 86 + 513 + 42 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14082094224 + 365783040000 = 118668^2 + 604800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7370304 + ... + 7421664.

Almost surely, 2^379865134224 is an apocalyptic number.

379865134224 is the 616332-nd square number.

It is an amenable number.

379865134224 is an abundant number, since it is smaller than the sum of its proper divisors (683250350025).

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

379865134224 is an frugal number, since it uses more digits than its factorization.

379865134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102736 (or 51366 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

It can be divided in two parts, 379865 and 134224, that added together give a square (514089 = 717²).

The spelling of 379865134224 in words is "three hundred seventy-nine billion, eight hundred sixty-five million, one hundred thirty-four thousand, two hundred twenty-four".