3981446784 has 480 divisors, whose sum is σ = 14625640260. Its totient is φ = 1068318720.

The previous prime is 3981446741. The next prime is 3981446797. The reversal of 3981446784 is 4876441893.

3981446784 is a `hidden beast` number, since 3 + 98 + 14 + 467 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3969000000 + 12446784 = 63000^2 + 3528^2 .

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 self number, because there is not a number n which added to its sum of digits gives 3981446784.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8636314 + ... + 8636774.

Almost surely, 2^3981446784 is an apocalyptic number.

3981446784 is a gapful number since it is divisible by the number (34) 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 3981446784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312820130).

3981446784 is an abundant number, since it is smaller than the sum of its proper divisors (10644193476).

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

3981446784 is a wasteful number, since it uses less digits than its factorization.

3981446784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3981446784 is about 63098.7066745429. The cubic root of 3981446784 is about 1584.9429647069.

The spelling of 3981446784 in words is "three billion, nine hundred eighty-one million, four hundred forty-six thousand, seven hundred eighty-four".