3799717216680 has 1024 divisors, whose sum is σ = 14753249280000. Its totient is φ = 776001945600.

The previous prime is 3799717216643. The next prime is 3799717216733. The reversal of 3799717216680 is 866127179973.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 255 ways as a sum of consecutive naturals, for example, 10584170341 + ... + 10584170699.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470000).

Almost surely, 2^{3799717216680} is an apocalyptic number.

3799717216680 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 3799717216680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376624640000).

3799717216680 is an abundant number, since it is smaller than the sum of its proper divisors (10953532063320).

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

3799717216680 is a wasteful number, since it uses less digits than its factorization.

3799717216680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 66.

The spelling of 3799717216680 in words is "three trillion, seven hundred ninety-nine billion, seven hundred seventeen million, two hundred sixteen thousand, six hundred eighty".