3714995760000 has 960 divisors, whose sum is σ = 14488210788480. Its totient is φ = 840623616000.

The previous prime is 3714995759999. The next prime is 3714995760011. The reversal of 3714995760000 is 675994173.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1211278467 + ... + 1211281533.

It is an arithmetic number, because the mean of its divisors is an integer number (15091886238).

Almost surely, 2^{3714995760000} is an apocalyptic number.

3714995760000 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 3714995760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244105394240).

3714995760000 is an abundant number, since it is smaller than the sum of its proper divisors (10773215028480).

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

3714995760000 is a wasteful number, since it uses less digits than its factorization.

3714995760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 3714995760000 in words is "three trillion, seven hundred fourteen billion, nine hundred ninety-five million, seven hundred sixty thousand".