3405655993820 has 96 divisors (see below), whose sum is σ = 7436529233280. Its totient is φ = 1308540907520.

The previous prime is 3405655993819. The next prime is 3405655993829. The reversal of 3405655993820 is 283995565043.

It is a self number, because there is not a number n which added to its sum of digits gives 3405655993820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405655993829) by changing a digit.

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, 105431912 + ... + 105464208.

It is an arithmetic number, because the mean of its divisors is an integer number (77463846180).

Almost surely, 2^{3405655993820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405655993820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718264616640).

3405655993820 is an abundant number, since it is smaller than the sum of its proper divisors (4030873239460).

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

3405655993820 is a wasteful number, since it uses less digits than its factorization.

3405655993820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33263 (or 33261 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 59.

The spelling of 3405655993820 in words is "three trillion, four hundred five billion, six hundred fifty-five million, nine hundred ninety-three thousand, eight hundred twenty".