34433431424 has 64 divisors (see below), whose sum is σ = 78795905760. Its totient is φ = 14682200064.

The previous prime is 34433431367. The next prime is 34433431429. The reversal of 34433431424 is 42413433443.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34433431424² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34433431429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78974 + ... + 274050.

Almost surely, 2^34433431424 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 34433431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39397952880).

34433431424 is an abundant number, since it is smaller than the sum of its proper divisors (44362474336).

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

34433431424 is a wasteful number, since it uses less digits than its factorization.

34433431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195295 (or 195283 counting only the distinct ones).

The product of its digits is 165888, while the sum is 35.

Adding to 34433431424 its reverse (42413433443), we get a palindrome (76846864867).

The spelling of 34433431424 in words is "thirty-four billion, four hundred thirty-three million, four hundred thirty-one thousand, four hundred twenty-four".