3960548995248 has 480 divisors, whose sum is σ = 12100925491200. Its totient is φ = 1252359014400.

The previous prime is 3960548995187. The next prime is 3960548995297. The reversal of 3960548995248 is 8425998450693.

3960548995248 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 5 + 4 + 8 + 99 + 524 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3704909658 + ... + 3704910726.

It is an arithmetic number, because the mean of its divisors is an integer number (25210261440).

Almost surely, 2^{3960548995248} 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 3960548995248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050462745600).

3960548995248 is an abundant number, since it is smaller than the sum of its proper divisors (8140376495952).

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

3960548995248 is a wasteful number, since it uses less digits than its factorization.

3960548995248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 3960548995248 in words is "three trillion, nine hundred sixty billion, five hundred forty-eight million, nine hundred ninety-five thousand, two hundred forty-eight".