3455512144 has 120 divisors (see below), whose sum is σ = 8033813928. Its totient is φ = 1434746880.

The previous prime is 3455512141. The next prime is 3455512199. The reversal of 3455512144 is 4412155543.

It can be written as a sum of positive squares in 4 ways, for example, as 240622144 + 3214890000 = 15512^2 + 56700^2 .

Its product of digits (48000) is a multiple of the sum of its prime divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455512141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6203514 + ... + 6204070.

Almost surely, 2^3455512144 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 3455512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016906964).

3455512144 is an abundant number, since it is smaller than the sum of its proper divisors (4578301784).

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

3455512144 is a wasteful number, since it uses less digits than its factorization.

3455512144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The square root of 3455512144 is about 58783.6043808135. The cubic root of 3455512144 is about 1511.8341153173.

Adding to 3455512144 its reverse (4412155543), we get a palindrome (7867667687).

The spelling of 3455512144 in words is "three billion, four hundred fifty-five million, five hundred twelve thousand, one hundred forty-four".