3821319751680 has 144 divisors (see below), whose sum is σ = 13244007935340. Its totient is φ = 1019018575872.

The previous prime is 3821319751637. The next prime is 3821319751703. The reversal of 3821319751680 is 861579131283.

3821319751680 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 31 + 97 + 516 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3483210064896 + 338109686784 = 1866336^2 + 581472^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20639827 + ... + 20824146.

Almost surely, 2^{3821319751680} is an apocalyptic number.

3821319751680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3821319751680 is an abundant number, since it is smaller than the sum of its proper divisors (9422688183660).

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

3821319751680 is a wasteful number, since it uses less digits than its factorization.

3821319751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41464006 (or 41463983 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 3821319751680 in words is "three trillion, eight hundred twenty-one billion, three hundred nineteen million, seven hundred fifty-one thousand, six hundred eighty".