3827448948960 has 2592 divisors, whose sum is σ = 17797225249440. Its totient is φ = 769022263296.

The previous prime is 3827448948913. The next prime is 3827448948979. The reversal of 3827448948960 is 698498447283.

3827448948960 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 4 + 4 + 89 + 489 + 60 = 666.

3827448948960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 52430807484 + ... + 52430807556.

It is an arithmetic number, because the mean of its divisors is an integer number (6866213445).

Almost surely, 2^{3827448948960} is an apocalyptic number.

3827448948960 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 3827448948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898612624720).

3827448948960 is an abundant number, since it is smaller than the sum of its proper divisors (13969776300480).

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

3827448948960 is a wasteful number, since it uses less digits than its factorization.

3827448948960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 3827448948960 in words is "three trillion, eight hundred twenty-seven billion, four hundred forty-eight million, nine hundred forty-eight thousand, nine hundred sixty".