3982294848 has 224 divisors, whose sum is σ = 12617256960. Its totient is φ = 1084446720.

The previous prime is 3982294847. The next prime is 3982294951. The reversal of 3982294848 is 8484922893.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982294847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3234393 + ... + 3235623.

It is an arithmetic number, because the mean of its divisors is an integer number (56327040).

Almost surely, 2^3982294848 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 3982294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308628480).

3982294848 is an abundant number, since it is smaller than the sum of its proper divisors (8634962112).

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

3982294848 is a wasteful number, since it uses less digits than its factorization.

3982294848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The square root of 3982294848 is about 63105.4264544659. The cubic root of 3982294848 is about 1585.0554897695.

The spelling of 3982294848 in words is "three billion, nine hundred eighty-two million, two hundred ninety-four thousand, eight hundred forty-eight".