3468380160 has 288 divisors, whose sum is σ = 12781903680. Its totient is φ = 786530304.

The previous prime is 3468380147. The next prime is 3468380177. The reversal of 3468380160 is 610838643.

It is a congruent number.

It is an unprimeable number.

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, 27310017 + ... + 27310143.

It is an arithmetic number, because the mean of its divisors is an integer number (44381610).

Almost surely, 2^3468380160 is an apocalyptic number.

3468380160 is a gapful number since it is divisible by the number (30) 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 3468380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390951840).

3468380160 is an abundant number, since it is smaller than the sum of its proper divisors (9313523520).

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

3468380160 is an equidigital number, since it uses as much as digits as its factorization.

3468380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3468380160 is about 58892.9550965139. The cubic root of 3468380160 is about 1513.7084353330.

The spelling of 3468380160 in words is "three billion, four hundred sixty-eight million, three hundred eighty thousand, one hundred sixty".