3434213440 has 112 divisors (see below), whose sum is σ = 9522634752. Its totient is φ = 1155188736.

The previous prime is 3434213429. The next prime is 3434213443. The reversal of 3434213440 is 443124343.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3434213399 and 3434213408.

It is not an unprimeable number, because it can be changed into a prime (3434213443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104257 + ... + 133183.

Almost surely, 2^3434213440 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 3434213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761317376).

3434213440 is an abundant number, since it is smaller than the sum of its proper divisors (6088421312).

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

3434213440 is a wasteful number, since it uses less digits than its factorization.

3434213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29004 (or 28994 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3434213440 is about 58602.1624174399. The cubic root of 3434213440 is about 1508.7215528756.

Adding to 3434213440 its reverse (443124343), we get a palindrome (3877337783).

The spelling of 3434213440 in words is "three billion, four hundred thirty-four million, two hundred thirteen thousand, four hundred forty".