3799975680000 has 1440 divisors, whose sum is σ = 14994161582400. Its totient is φ = 958500864000.

The previous prime is 3799975679977. The next prime is 3799975680013. The reversal of 3799975680000 is 865799973.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a self number, because there is not a number n which added to its sum of digits gives 3799975680000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5909759679 + ... + 5909760321.

It is an arithmetic number, because the mean of its divisors is an integer number (10412612210).

Almost surely, 2^{3799975680000} is an apocalyptic number.

3799975680000 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 3799975680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497080791200).

3799975680000 is an abundant number, since it is smaller than the sum of its proper divisors (11194185902400).

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

3799975680000 is an frugal number, since it uses more digits than its factorization.

3799975680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 3799975680000 in words is "three trillion, seven hundred ninety-nine billion, nine hundred seventy-five million, six hundred eighty thousand".