3810829999680 has 448 divisors, whose sum is σ = 14670602876160. Its totient is φ = 923542732800.

The previous prime is 3810829999679. The next prime is 3810829999747. The reversal of 3810829999680 is 869999280183.

It is a happy number.

3810829999680 is a `hidden beast` number, since 381 + 0 + 82 + 9 + 9 + 9 + 96 + 80 = 666.

3810829999680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3810829999680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3810829999599 and 3810829999608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520530420 + ... + 520537740.

It is an arithmetic number, because the mean of its divisors is an integer number (32746881420).

Almost surely, 2^{3810829999680} is an apocalyptic number.

3810829999680 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 3810829999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335301438080).

3810829999680 is an abundant number, since it is smaller than the sum of its proper divisors (10859772876480).

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

3810829999680 is a wasteful number, since it uses less digits than its factorization.

3810829999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 3810829999680 in words is "three trillion, eight hundred ten billion, eight hundred twenty-nine million, nine hundred ninety-nine thousand, six hundred eighty".