3995578417248 has 1152 divisors, whose sum is σ = 14429592253440. Its totient is φ = 1072963584000.

The previous prime is 3995578417247. The next prime is 3995578417261. The reversal of 3995578417248 is 8427148755993.

3995578417248 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 578 + 4 + 1 + 7 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3995578417247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1728938013 + ... + 1728940323.

It is an arithmetic number, because the mean of its divisors is an integer number (12525687720).

Almost surely, 2^{3995578417248} 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 3995578417248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214796126720).

3995578417248 is an abundant number, since it is smaller than the sum of its proper divisors (10434013836192).

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

3995578417248 is a wasteful number, since it uses less digits than its factorization.

3995578417248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2414 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 3995578417248 in words is "three trillion, nine hundred ninety-five billion, five hundred seventy-eight million, four hundred seventeen thousand, two hundred forty-eight".