3795683935680 has 2688 divisors, whose sum is σ = 17768593489920. Its totient is φ = 721294295040.

The previous prime is 3795683935669. The next prime is 3795683935691. The reversal of 3795683935680 is 865393865973.

3795683935680 is a `hidden beast` number, since 3 + 7 + 9 + 56 + 8 + 3 + 9 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3795683935669) and next prime (3795683935691).

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 = 3795683935599 and 3795683935608.

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 383 ways as a sum of consecutive naturals, for example, 10342462857 + ... + 10342463223.

It is an arithmetic number, because the mean of its divisors is an integer number (6610339840).

Almost surely, 2^{3795683935680} is an apocalyptic number.

3795683935680 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 3795683935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884296744960).

3795683935680 is an abundant number, since it is smaller than the sum of its proper divisors (13972909554240).

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

3795683935680 is a wasteful number, since it uses less digits than its factorization.

3795683935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 3795683935680 in words is "three trillion, seven hundred ninety-five billion, six hundred eighty-three million, nine hundred thirty-five thousand, six hundred eighty".