3434002034304 has 128 divisors (see below), whose sum is σ = 9369372628800. Its totient is φ = 1113578717184.

The previous prime is 3434002034291. The next prime is 3434002034327. The reversal of 3434002034304 is 4034302004343.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157086927 + ... + 157108785.

Almost surely, 2^{3434002034304} 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 3434002034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684686314400).

3434002034304 is an abundant number, since it is smaller than the sum of its proper divisors (5935370594496).

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

3434002034304 is a wasteful number, since it uses less digits than its factorization.

3434002034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32970 (or 32958 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 3434002034304 its reverse (4034302004343), we get a palindrome (7468304038647).

The spelling of 3434002034304 in words is "three trillion, four hundred thirty-four billion, two million, thirty-four thousand, three hundred four".