3935783822160 has 160 divisors (see below), whose sum is σ = 12375680262912. Its totient is φ = 1034517012480.

The previous prime is 3935783822149. The next prime is 3935783822207. The reversal of 3935783822160 is 612283875393.

It is a Cunningham number, because it is equal to 1983881²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 3935783822160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79330482 + ... + 79380078.

Almost surely, 2^{3935783822160} is an apocalyptic number.

3935783822160 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 3935783822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187840131456).

3935783822160 is an abundant number, since it is smaller than the sum of its proper divisors (8439896440752).

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

3935783822160 is a wasteful number, since it uses less digits than its factorization.

3935783822160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54341 (or 54335 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 3935783822160 in words is "three trillion, nine hundred thirty-five billion, seven hundred eighty-three million, eight hundred twenty-two thousand, one hundred sixty".