3404403420000 has 960 divisors, whose sum is σ = 12812593457664. Its totient is φ = 783185920000.

The previous prime is 3404403419969. The next prime is 3404403420007. The reversal of 3404403420000 is 243044043.

It is a happy number.

It is a super-2 number, since 2×3404403420000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404403420007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2079659182 + ... + 2079660818.

Almost surely, 2^{3404403420000} is an apocalyptic number.

3404403420000 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 3404403420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406296728832).

3404403420000 is an abundant number, since it is smaller than the sum of its proper divisors (9408190037664).

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

3404403420000 is a wasteful number, since it uses less digits than its factorization.

3404403420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3404403420000 its reverse (243044043), we get a palindrome (3404646464043).

The spelling of 3404403420000 in words is "three trillion, four hundred four billion, four hundred three million, four hundred twenty thousand".