3954122305560 has 640 divisors, whose sum is σ = 15368411963520. Its totient is φ = 893143646208.

The previous prime is 3954122305559. The next prime is 3954122305579. The reversal of 3954122305560 is 655032214593.

3954122305560 is a `hidden beast` number, since 3 + 9 + 5 + 41 + 22 + 30 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2721349794 + ... + 2721351246.

It is an arithmetic number, because the mean of its divisors is an integer number (24013143693).

Almost surely, 2^{3954122305560} is an apocalyptic number.

3954122305560 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 3954122305560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684205981760).

3954122305560 is an abundant number, since it is smaller than the sum of its proper divisors (11414289657960).

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

3954122305560 is a wasteful number, since it uses less digits than its factorization.

3954122305560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 3954122305560 in words is "three trillion, nine hundred fifty-four billion, one hundred twenty-two million, three hundred five thousand, five hundred sixty".