3434342530304 has 288 divisors, whose sum is σ = 8650935336960. Its totient is φ = 1326727987200.

The previous prime is 3434342530279. The next prime is 3434342530369. The reversal of 3434342530304 is 4030352434343.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149561384 + ... + 149584344.

It is an arithmetic number, because the mean of its divisors is an integer number (30037969920).

Almost surely, 2^{3434342530304} 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 3434342530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325467668480).

3434342530304 is an abundant number, since it is smaller than the sum of its proper divisors (5216592806656).

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

3434342530304 is a wasteful number, since it uses less digits than its factorization.

3434342530304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23217 (or 23203 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 38.

Adding to 3434342530304 its reverse (4030352434343), we get a palindrome (7464694964647).

The spelling of 3434342530304 in words is "three trillion, four hundred thirty-four billion, three hundred forty-two million, five hundred thirty thousand, three hundred four".