3434340440 has 128 divisors (see below), whose sum is σ = 8335872000. Its totient is φ = 1269504000.

The previous prime is 3434340419. The next prime is 3434340449. The reversal of 3434340440 is 440434343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434340449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8564240 + ... + 8564640.

It is an arithmetic number, because the mean of its divisors is an integer number (65124000).

Almost surely, 2^3434340440 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 3434340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167936000).

3434340440 is an abundant number, since it is smaller than the sum of its proper divisors (4901531560).

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

3434340440 is a wasteful number, since it uses less digits than its factorization.

3434340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

The square root of 3434340440 is about 58603.2459851841. The cubic root of 3434340440 is about 1508.7401505622.

Adding to 3434340440 its reverse (440434343), we get a palindrome (3874774783).

The spelling of 3434340440 in words is "three billion, four hundred thirty-four million, three hundred forty thousand, four hundred forty".