3947248609920 has 2880 divisors, whose sum is σ = 18588160674720. Its totient is φ = 793749196800.

The previous prime is 3947248609879. The next prime is 3947248609937. The reversal of 3947248609920 is 299068427493.

3947248609920 is a `hidden beast` number, since 3 + 9 + 47 + 2 + 486 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 127330600305 + ... + 127330600335.

Almost surely, 2^{3947248609920} is an apocalyptic number.

3947248609920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947248609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294080337360).

3947248609920 is an abundant number, since it is smaller than the sum of its proper divisors (14640912064800).

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

3947248609920 is an frugal number, since it uses more digits than its factorization.

3947248609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3947248609920 in words is "three trillion, nine hundred forty-seven billion, two hundred forty-eight million, six hundred nine thousand, nine hundred twenty".