3456066144 has 24 divisors (see below), whose sum is σ = 9072173880. Its totient is φ = 1152022016.

The previous prime is 3456066139. The next prime is 3456066149. The reversal of 3456066144 is 4416606543.

It is an interprime number because it is at equal distance from previous prime (3456066139) and next prime (3456066149).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456066149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18000249 + ... + 18000440.

It is an arithmetic number, because the mean of its divisors is an integer number (378007245).

Almost surely, 2^3456066144 is an apocalyptic number.

It is an amenable number.

3456066144 is an abundant number, since it is smaller than the sum of its proper divisors (5616107736).

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

3456066144 is a wasteful number, since it uses less digits than its factorization.

3456066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36000702 (or 36000694 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 3456066144 is about 58788.3163902488. The cubic root of 3456066144 is about 1511.9149052079.

The spelling of 3456066144 in words is "three billion, four hundred fifty-six million, sixty-six thousand, one hundred forty-four".