3509468144 has 80 divisors (see below), whose sum is σ = 8572992960. Its totient is φ = 1354475520.

The previous prime is 3509468143. The next prime is 3509468153. The reversal of 3509468144 is 4418649053.

It is a junction number, because it is equal to n+sod(n) for n = 3509468095 and 3509468104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3509468143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30302 + ... + 89090.

It is an arithmetic number, because the mean of its divisors is an integer number (107162412).

Almost surely, 2^3509468144 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 3509468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286496480).

3509468144 is an abundant number, since it is smaller than the sum of its proper divisors (5063524816).

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

3509468144 is a wasteful number, since it uses less digits than its factorization.

3509468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58858 (or 58852 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 3509468144 is about 59240.7642084401. The cubic root of 3509468144 is about 1519.6623418945.

The spelling of 3509468144 in words is "three billion, five hundred nine million, four hundred sixty-eight thousand, one hundred forty-four".