3848217984 has 384 divisors, whose sum is σ = 12807674880. Its totient is φ = 1142138880.

The previous prime is 3848217949. The next prime is 3848218043. The reversal of 3848217984 is 4897128483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3848217984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12534759 + ... + 12535065.

It is an arithmetic number, because the mean of its divisors is an integer number (33353320).

Almost surely, 2^3848217984 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 3848217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403837440).

3848217984 is an abundant number, since it is smaller than the sum of its proper divisors (8959456896).

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

3848217984 is a wasteful number, since it uses less digits than its factorization.

3848217984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3848217984 is about 62034.0066737592. The cubic root of 3848217984 is about 1567.0633549476.

The spelling of 3848217984 in words is "three billion, eight hundred forty-eight million, two hundred seventeen thousand, nine hundred eighty-four".