3968307383040 has 2304 divisors, whose sum is σ = 19301377536000. Its totient is φ = 760828723200.

The previous prime is 3968307383017. The next prime is 3968307383087. The reversal of 3968307383040 is 403837038693.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1695132270 + ... + 1695134610.

It is an arithmetic number, because the mean of its divisors is an integer number (8377334000).

Almost surely, 2^{3968307383040} is an apocalyptic number.

3968307383040 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 3968307383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650688768000).

3968307383040 is an abundant number, since it is smaller than the sum of its proper divisors (15333070152960).

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

3968307383040 is a wasteful number, since it uses less digits than its factorization.

3968307383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3968307383040 in words is "three trillion, nine hundred sixty-eight billion, three hundred seven million, three hundred eighty-three thousand, forty".