3979317017448 has 96 divisors (see below), whose sum is σ = 10858300394760. Its totient is φ = 1316491038720.

The previous prime is 3979317017443. The next prime is 3979317017479. The reversal of 3979317017448 is 8447107139793.

3979317017448 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 3 + 170 + 17 + 448 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3245899483044 + 733417534404 = 1801638^2 + 856398^2 .

It is not an unprimeable number, because it can be changed into a prime (3979317017443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9759036 + ... + 10158612.

Almost surely, 2^{3979317017448} 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 3979317017448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429150197380).

3979317017448 is an abundant number, since it is smaller than the sum of its proper divisors (6878983377312).

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

3979317017448 is a wasteful number, since it uses less digits than its factorization.

3979317017448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400627 (or 400620 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 3979317017448 in words is "three trillion, nine hundred seventy-nine billion, three hundred seventeen million, seventeen thousand, four hundred forty-eight".