3434303520000 has 1080 divisors, whose sum is σ = 12670788049920. Its totient is φ = 894136320000.

The previous prime is 3434303519971. The next prime is 3434303520013. The reversal of 3434303520000 is 253034343.

It is a happy number.

3434303520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16276319895 + ... + 16276320105.

Almost surely, 2^{3434303520000} is an apocalyptic number.

3434303520000 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 3434303520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335394024960).

3434303520000 is an abundant number, since it is smaller than the sum of its proper divisors (9236484529920).

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

3434303520000 is a wasteful number, since it uses less digits than its factorization.

3434303520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 3434303520000 its reverse (253034343), we get a palindrome (3434556554343).

The spelling of 3434303520000 in words is "three trillion, four hundred thirty-four billion, three hundred three million, five hundred twenty thousand".