3729984580608 has 1056 divisors, whose sum is σ = 12477372230400. Its totient is φ = 982357770240.

The previous prime is 3729984580573. The next prime is 3729984580661. The reversal of 3729984580608 is 8060854899273.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 6025822923 + ... + 6025823541.

It is an arithmetic number, because the mean of its divisors is an integer number (11815693400).

Almost surely, 2^{3729984580608} 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 3729984580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238686115200).

3729984580608 is an abundant number, since it is smaller than the sum of its proper divisors (8747387649792).

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

3729984580608 is a wasteful number, since it uses less digits than its factorization.

3729984580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 3729984580608 in words is "three trillion, seven hundred twenty-nine billion, nine hundred eighty-four million, five hundred eighty thousand, six hundred eight".