3961910498832 has 960 divisors, whose sum is σ = 13768068787200. Its totient is φ = 1047045242880.

The previous prime is 3961910498827. The next prime is 3961910498837. The reversal of 3961910498832 is 2388940191693.

3961910498832 is a `hidden beast` number, since 3 + 9 + 61 + 9 + 1 + 0 + 498 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3961910498827) and next prime (3961910498837).

It is a self number, because there is not a number n which added to its sum of digits gives 3961910498832.

It is not an unprimeable number, because it can be changed into a prime (3961910498837) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6463148958 + ... + 6463149570.

It is an arithmetic number, because the mean of its divisors is an integer number (14341738320).

Almost surely, 2^{3961910498832} 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 3961910498832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884034393600).

3961910498832 is an abundant number, since it is smaller than the sum of its proper divisors (9806158288368).

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

3961910498832 is a wasteful number, since it uses less digits than its factorization.

3961910498832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 3961910498832 in words is "three trillion, nine hundred sixty-one billion, nine hundred ten million, four hundred ninety-eight thousand, eight hundred thirty-two".