379710812448 has 1008 divisors, whose sum is σ = 1343185138008. Its totient is φ = 105106636800.

The previous prime is 379710812443. The next prime is 379710812449. The reversal of 379710812448 is 844218017973.

379710812448 is a `hidden beast` number, since 3 + 7 + 97 + 108 + 1 + 2 + 448 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236091035664 + 143619776784 = 485892^2 + 378972^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 379710812394 and 379710812403.

It is not an unprimeable number, because it can be changed into a prime (379710812443) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1967413440 + ... + 1967413632.

Almost surely, 2^379710812448 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 379710812448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671592569004).

379710812448 is an abundant number, since it is smaller than the sum of its proper divisors (963474325560).

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

379710812448 is a wasteful number, since it uses less digits than its factorization.

379710812448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 379710812448 in words is "three hundred seventy-nine billion, seven hundred ten million, eight hundred twelve thousand, four hundred forty-eight".