3984282648 has 128 divisors (see below), whose sum is σ = 11404800000. Its totient is φ = 1288054656.

The previous prime is 3984282611. The next prime is 3984282677. The reversal of 3984282648 is 8462824893.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3984282594 and 3984282603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382473 + ... + 1385351.

It is an arithmetic number, because the mean of its divisors is an integer number (89100000).

Almost surely, 2^3984282648 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 3984282648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400000).

3984282648 is an abundant number, since it is smaller than the sum of its proper divisors (7420517352).

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

3984282648 is a wasteful number, since it uses less digits than its factorization.

3984282648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3076 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 3984282648 is about 63121.1743236768. The cubic root of 3984282648 is about 1585.3191776950.

The spelling of 3984282648 in words is "three billion, nine hundred eighty-four million, two hundred eighty-two thousand, six hundred forty-eight".