3761704960000 has 640 divisors, whose sum is σ = 10318459536000. Its totient is φ = 1362493440000.

The previous prime is 3761704959979. The next prime is 3761704960019. The reversal of 3761704960000 is 694071673.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18903039901 + ... + 18903040099.

It is an arithmetic number, because the mean of its divisors is an integer number (16122593025).

Almost surely, 2^{3761704960000} 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 3761704960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159229768000).

3761704960000 is an abundant number, since it is smaller than the sum of its proper divisors (6556754576000).

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

3761704960000 is an frugal number, since it uses more digits than its factorization.

3761704960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 3761704960000 in words is "three trillion, seven hundred sixty-one billion, seven hundred four million, nine hundred sixty thousand".