3434014144 has 112 divisors (see below), whose sum is σ = 7908316416. Its totient is φ = 1462169600.

The previous prime is 3434014121. The next prime is 3434014147. The reversal of 3434014144 is 4414104343.

It is a happy number.

3434014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434014147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3147039 + ... + 3148129.

It is an arithmetic number, because the mean of its divisors is an integer number (70609968).

Almost surely, 2^3434014144 is an apocalyptic number.

3434014144 is a gapful number since it is divisible by the number (34) 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 3434014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954158208).

3434014144 is an abundant number, since it is smaller than the sum of its proper divisors (4474302272).

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

3434014144 is a wasteful number, since it uses less digits than its factorization.

3434014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3434014144 is about 58600.4619777012. The cubic root of 3434014144 is about 1508.6923673486.

Adding to 3434014144 its reverse (4414104343), we get a palindrome (7848118487).

It can be divided in two parts, 34340 and 14144, that added together give a palindrome (48484).

The spelling of 3434014144 in words is "three billion, four hundred thirty-four million, fourteen thousand, one hundred forty-four".