3961694349312 has 288 divisors, whose sum is σ = 12350842882560. Its totient is φ = 1125970083840.

The previous prime is 3961694349289. The next prime is 3961694349331. The reversal of 3961694349312 is 2139434961693.

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 23 ways as a sum of consecutive naturals, for example, 57467248 + ... + 57536144.

It is an arithmetic number, because the mean of its divisors is an integer number (42884871120).

Almost surely, 2^{3961694349312} is an apocalyptic number.

3961694349312 is a gapful number since it is divisible by the number (32) 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 3961694349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175421441280).

3961694349312 is an abundant number, since it is smaller than the sum of its proper divisors (8389148533248).

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

3961694349312 is a wasteful number, since it uses less digits than its factorization.

3961694349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69127 (or 69100 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 60.

The spelling of 3961694349312 in words is "three trillion, nine hundred sixty-one billion, six hundred ninety-four million, three hundred forty-nine thousand, three hundred twelve".