379654377921 has 243 divisors, whose sum is σ = 721771511643. Its totient is φ = 191650717440.

The previous prime is 379654377913. The next prime is 379654377931. The reversal of 379654377921 is 129773456973.

It is a happy number.

The square root of 379654377921 is 616161.

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

379654377921 is a `hidden beast` number, since 3 + 79 + 65 + 437 + 79 + 2 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 357172374321 + 22482003600 = 597639^2 + 149940^2 .

It is not a de Polignac number, because 379654377921 - 2³ = 379654377913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (379654377931) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6223842231 + ... + 6223842291.

Almost surely, 2^379654377921 is an apocalyptic number.

379654377921 is the 616161-st square number.

379654377921 is the 308081-st centered octagonal number.

It is an amenable number.

379654377921 is a deficient number, since it is larger than the sum of its proper divisors (342117133722).

379654377921 is a wasteful number, since it uses less digits than its factorization.

379654377921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The spelling of 379654377921 in words is "three hundred seventy-nine billion, six hundred fifty-four million, three hundred seventy-seven thousand, nine hundred twenty-one".