3456416712 has 128 divisors (see below), whose sum is σ = 10135065600. Its totient is φ = 961728768.

The previous prime is 3456416699. The next prime is 3456416713. The reversal of 3456416712 is 2176146543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3456416713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4023339 + ... + 4024197.

It is an arithmetic number, because the mean of its divisors is an integer number (79180200).

Almost surely, 2^3456416712 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 3456416712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067532800).

3456416712 is an abundant number, since it is smaller than the sum of its proper divisors (6678648888).

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

3456416712 is a wasteful number, since it uses less digits than its factorization.

3456416712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1471 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3456416712 is about 58791.2979274994. The cubic root of 3456416712 is about 1511.9660241239.

The spelling of 3456416712 in words is "three billion, four hundred fifty-six million, four hundred sixteen thousand, seven hundred twelve".