3404307431808 has 192 divisors, whose sum is σ = 10118860876800. Its totient is φ = 1097446579200.

The previous prime is 3404307431803. The next prime is 3404307431851. The reversal of 3404307431808 is 8081347034043.

3404307431808 is a `hidden beast` number, since 3 + 40 + 430 + 74 + 31 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404307431803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56073213 + ... + 56133891.

It is an arithmetic number, because the mean of its divisors is an integer number (52702400400).

Almost surely, 2^{3404307431808} 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 3404307431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059430438400).

3404307431808 is an abundant number, since it is smaller than the sum of its proper divisors (6714553444992).

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

3404307431808 is a wasteful number, since it uses less digits than its factorization.

3404307431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62301 (or 62286 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3404307431808 in words is "three trillion, four hundred four billion, three hundred seven million, four hundred thirty-one thousand, eight hundred eight".