3982245768 has 180 divisors, whose sum is σ = 11637233685. Its totient is φ = 1272262464.

The previous prime is 3982245763. The next prime is 3982245793. The reversal of 3982245768 is 8675422893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3982245768 is a `hidden beast` number, since 398 + 2 + 245 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3212849124 + 769396644 = 56682^2 + 27738^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=44622.

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

It is not an unprimeable number, because it can be changed into a prime (3982245763) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59436471 + ... + 59436537.

Almost surely, 2^3982245768 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 3982245768

3982245768 is an abundant number, since it is smaller than the sum of its proper divisors (7654987917).

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

3982245768 is an equidigital number, since it uses as much as digits as its factorization.

3982245768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 109 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3982245768 is about 63105.0375802122. The cubic root of 3982245768 is about 1585.0489780431.

The spelling of 3982245768 in words is "three billion, nine hundred eighty-two million, two hundred forty-five thousand, seven hundred sixty-eight".