3983434208000 has 1152 divisors, whose sum is σ = 11816819239680. Its totient is φ = 1324980633600.

The previous prime is 3983434207933. The next prime is 3983434208029. The reversal of 3983434208000 is 8024343893.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15499743872 + ... + 15499744128.

It is an arithmetic number, because the mean of its divisors is an integer number (10257655590).

Almost surely, 2^{3983434208000} 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 3983434208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908409619840).

3983434208000 is an abundant number, since it is smaller than the sum of its proper divisors (7833385031680).

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

3983434208000 is a wasteful number, since it uses less digits than its factorization.

3983434208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 3983434208000 in words is "three trillion, nine hundred eighty-three billion, four hundred thirty-four million, two hundred eight thousand".