3434313222432 has 144 divisors (see below), whose sum is σ = 10155649375872. Its totient is φ = 1141650858240.

The previous prime is 3434313222427. The next prime is 3434313222451. The reversal of 3434313222432 is 2342223134343.

3434313222432 is a `hidden beast` number, since 34 + 3 + 43 + 132 + 22 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3434313222432³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2252082 + ... + 3455502.

It is an arithmetic number, because the mean of its divisors is an integer number (70525342888).

Almost surely, 2^{3434313222432} is an apocalyptic number.

3434313222432 is a gapful number since it is divisible by the number (32) 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 3434313222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077824687936).

3434313222432 is an abundant number, since it is smaller than the sum of its proper divisors (6721336153440).

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

3434313222432 is a wasteful number, since it uses less digits than its factorization.

3434313222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203813 (or 1203793 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 3434313222432 its reverse (2342223134343), we get a palindrome (5776536356775).

The spelling of 3434313222432 in words is "three trillion, four hundred thirty-four billion, three hundred thirteen million, two hundred twenty-two thousand, four hundred thirty-two".