3248195001408 has 336 divisors, whose sum is σ = 10688577803904. Its totient is φ = 923863449600.

The previous prime is 3248195001379. The next prime is 3248195001413. The reversal of 3248195001408 is 8041005918423.

3248195001408 is a `hidden beast` number, since 3 + 24 + 81 + 9 + 500 + 1 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1610408016 + ... + 1610410032.

It is an arithmetic number, because the mean of its divisors is an integer number (31811243464).

Almost surely, 2^{3248195001408} 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 3248195001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344288901952).

3248195001408 is an abundant number, since it is smaller than the sum of its proper divisors (7440382802496).

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

3248195001408 is a wasteful number, since it uses less digits than its factorization.

3248195001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3248195001408 in words is "three trillion, two hundred forty-eight billion, one hundred ninety-five million, one thousand, four hundred eight".