3968563107600 has 1920 divisors, whose sum is σ = 18017596800000. Its totient is φ = 807410073600.

The previous prime is 3968563107571. The next prime is 3968563107629. The reversal of 3968563107600 is 67013658693.

3968563107600 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 563 + 1 + 0 + 76 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3968563107571) and next prime (3968563107629).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 3177391776 + ... + 3177393024.

It is an arithmetic number, because the mean of its divisors is an integer number (9384165000).

Almost surely, 2^{3968563107600} is an apocalyptic number.

3968563107600 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 3968563107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008798400000).

3968563107600 is an abundant number, since it is smaller than the sum of its proper divisors (14049033692400).

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

3968563107600 is a wasteful number, since it uses less digits than its factorization.

3968563107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3968563107600 in words is "three trillion, nine hundred sixty-eight billion, five hundred sixty-three million, one hundred seven thousand, six hundred".