3983338736640 has 1056 divisors, whose sum is σ = 14953244604480. Its totient is φ = 1015478747136.

The previous prime is 3983338736617. The next prime is 3983338736777. The reversal of 3983338736640 is 466378333893.

It is a happy number.

3983338736640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4077111832 + ... + 4077112808.

Almost surely, 2^{3983338736640} is an apocalyptic number.

3983338736640 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 3983338736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476622302240).

3983338736640 is an abundant number, since it is smaller than the sum of its proper divisors (10969905867840).

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

3983338736640 is a wasteful number, since it uses less digits than its factorization.

3983338736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 3983338736640 in words is "three trillion, nine hundred eighty-three billion, three hundred thirty-eight million, seven hundred thirty-six thousand, six hundred forty".