3434133504 has 96 divisors (see below), whose sum is σ = 9186428160. Its totient is φ = 1140842496.

The previous prime is 3434133491. The next prime is 3434133529. The reversal of 3434133504 is 4053314343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2254087 + ... + 2255609.

It is an arithmetic number, because the mean of its divisors is an integer number (95691960).

Almost surely, 2^3434133504 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 3434133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593214080).

3434133504 is an abundant number, since it is smaller than the sum of its proper divisors (5752294656).

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

3434133504 is a wasteful number, since it uses less digits than its factorization.

3434133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3434133504 is about 58601.4803908570. The cubic root of 3434133504 is about 1508.7098469344.

Adding to 3434133504 its reverse (4053314343), we get a palindrome (7487447847).

The spelling of 3434133504 in words is "three billion, four hundred thirty-four million, one hundred thirty-three thousand, five hundred four".