3404450811100 has 144 divisors (see below), whose sum is σ = 7524958371840. Its totient is φ = 1336732588800.

The previous prime is 3404450811059. The next prime is 3404450811101. The reversal of 3404450811100 is 11180544043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404450811101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955456230 + ... + 1955457970.

It is an arithmetic number, because the mean of its divisors is an integer number (52256655360).

Almost surely, 2^{3404450811100} 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 3404450811100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762479185920).

3404450811100 is an abundant number, since it is smaller than the sum of its proper divisors (4120507560740).

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

3404450811100 is a wasteful number, since it uses less digits than its factorization.

3404450811100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 3404450811100 in words is "three trillion, four hundred four billion, four hundred fifty million, eight hundred eleven thousand, one hundred".