3961540608000 has 1024 divisors, whose sum is σ = 13991581992960. Its totient is φ = 993394688000.

The previous prime is 3961540607993. The next prime is 3961540608001. The reversal of 3961540608000 is 8060451693.

It is a tau number, because it is divible by the number of its divisors (1024).

It is not an unprimeable number, because it can be changed into a prime (3961540608001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30240767935 + ... + 30240768065.

It is an arithmetic number, because the mean of its divisors is an integer number (13663654290).

Almost surely, 2^{3961540608000} is an apocalyptic number.

3961540608000 is a gapful number since it is divisible by the number (30) 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 3961540608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995790996480).

3961540608000 is an abundant number, since it is smaller than the sum of its proper divisors (10030041384960).

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

3961540608000 is a wasteful number, since it uses less digits than its factorization.

3961540608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 3961540608000 in words is "three trillion, nine hundred sixty-one billion, five hundred forty million, six hundred eight thousand".