3968520006 has 96 divisors (see below), whose sum is σ = 9241989120. Its totient is φ = 1132021440.

The previous prime is 3968519869. The next prime is 3968520013. The reversal of 3968520006 is 6000258693.

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 47 ways as a sum of consecutive naturals, for example, 2385531 + ... + 2387193.

It is an arithmetic number, because the mean of its divisors is an integer number (96270720).

Almost surely, 2^3968520006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968520006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620994560).

3968520006 is an abundant number, since it is smaller than the sum of its proper divisors (5273469114).

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

3968520006 is a wasteful number, since it uses less digits than its factorization.

3968520006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3968520006 is about 62996.1904086271. The cubic root of 3968520006 is about 1583.2257983575.

Adding to 3968520006 its reverse (6000258693), we get a palindrome (9968778699).

The spelling of 3968520006 in words is "three billion, nine hundred sixty-eight million, five hundred twenty thousand, six".