3955969334240 has 288 divisors, whose sum is σ = 11819256523200. Its totient is φ = 1224747786240.

The previous prime is 3955969334231. The next prime is 3955969334263. The reversal of 3955969334240 is 424339695593.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20094524 + ... + 20290436.

It is an arithmetic number, because the mean of its divisors is an integer number (41039085150).

Almost surely, 2^{3955969334240} 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 3955969334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909628261600).

3955969334240 is an abundant number, since it is smaller than the sum of its proper divisors (7863287188960).

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

3955969334240 is a wasteful number, since it uses less digits than its factorization.

3955969334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196106 (or 196087 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 62.

The spelling of 3955969334240 in words is "three trillion, nine hundred fifty-five billion, nine hundred sixty-nine million, three hundred thirty-four thousand, two hundred forty".