3983795308640 has 192 divisors, whose sum is σ = 11235107358720. Its totient is φ = 1305183559680.

The previous prime is 3983795308639. The next prime is 3983795308693. The reversal of 3983795308640 is 468035973893.

It is a super-2 number, since 2×3983795308640² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25915205 + ... + 26068475.

It is an arithmetic number, because the mean of its divisors is an integer number (58516184160).

Almost surely, 2^{3983795308640} 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 3983795308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617553679360).

3983795308640 is an abundant number, since it is smaller than the sum of its proper divisors (7251312050080).

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

3983795308640 is a wasteful number, since it uses less digits than its factorization.

3983795308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154325 (or 154317 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 65.

The spelling of 3983795308640 in words is "three trillion, nine hundred eighty-three billion, seven hundred ninety-five million, three hundred eight thousand, six hundred forty".