3034014144 has 336 divisors, whose sum is σ = 9829287936. Its totient is φ = 822528000.

The previous prime is 3034014143. The next prime is 3034014149. The reversal of 3034014144 is 4414104303.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034014143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29456397 + ... + 29456499.

Almost surely, 2^3034014144 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 3034014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914643968).

3034014144 is an abundant number, since it is smaller than the sum of its proper divisors (6795273792).

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

3034014144 is a wasteful number, since it uses less digits than its factorization.

3034014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3034014144 is about 55081.8858064972. The cubic root of 3034014144 is about 1447.6798637017.

Adding to 3034014144 its reverse (4414104303), we get a palindrome (7448118447).

The spelling of 3034014144 in words is "three billion, thirty-four million, fourteen thousand, one hundred forty-four".