3456903168 has 144 divisors (see below), whose sum is σ = 10510718400. Its totient is φ = 1091543040.

The previous prime is 3456903089. The next prime is 3456903209. The reversal of 3456903168 is 8613096543.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345273 + ... + 355143.

It is an arithmetic number, because the mean of its divisors is an integer number (72991100).

Almost surely, 2^3456903168 is an apocalyptic number.

3456903168 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 3456903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255359200).

3456903168 is an abundant number, since it is smaller than the sum of its proper divisors (7053815232).

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

3456903168 is a wasteful number, since it uses less digits than its factorization.

3456903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3456903168 is about 58795.4349248307. The cubic root of 3456903168 is about 1512.0369521497.

The spelling of 3456903168 in words is "three billion, four hundred fifty-six million, nine hundred three thousand, one hundred sixty-eight".