3480346144 has 96 divisors (see below), whose sum is σ = 7762003200. Its totient is φ = 1521623040.

The previous prime is 3480346127. The next prime is 3480346153. The reversal of 3480346144 is 4416430843.

It is a super-2 number, since 2×3480346144² = 24225618564111337472, which contains 22 as substring.

It is an unprimeable number.

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, 3745872 + ... + 3746800.

It is an arithmetic number, because the mean of its divisors is an integer number (80854200).

Almost surely, 2^3480346144 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 3480346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881001600).

3480346144 is an abundant number, since it is smaller than the sum of its proper divisors (4281657056).

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

3480346144 is a wasteful number, since it uses less digits than its factorization.

3480346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The square root of 3480346144 is about 58994.4585872266. The cubic root of 3480346144 is about 1515.4472124977.

Adding to 3480346144 its reverse (4416430843), we get a palindrome (7896776987).

The spelling of 3480346144 in words is "three billion, four hundred eighty million, three hundred forty-six thousand, one hundred forty-four".