3456751168 has 168 divisors, whose sum is σ = 8267209272. Its totient is φ = 1420443648.

The previous prime is 3456751163. The next prime is 3456751171. The reversal of 3456751168 is 8611576543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1432471104 + 2024280064 = 37848^2 + 44992^2 .

It is not an unprimeable number, because it can be changed into a prime (3456751163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5105646 + ... + 5106322.

It is an arithmetic number, because the mean of its divisors is an integer number (49209579).

Almost surely, 2^3456751168 is an apocalyptic number.

3456751168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133604636).

3456751168 is an abundant number, since it is smaller than the sum of its proper divisors (4810458104).

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

3456751168 is a wasteful number, since it uses less digits than its factorization.

3456751168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 728 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 3456751168 is about 58794.1422932591. The cubic root of 3456751168 is about 1512.0147904080.

The spelling of 3456751168 in words is "three billion, four hundred fifty-six million, seven hundred fifty-one thousand, one hundred sixty-eight".