3468189312 has 384 divisors, whose sum is σ = 12537383040. Its totient is φ = 931627008.

The previous prime is 3468189311. The next prime is 3468189317. The reversal of 3468189312 is 2139818643.

3468189312 is a `hidden beast` number, since 3 + 468 + 189 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3468189311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700908 + ... + 3701844.

It is an arithmetic number, because the mean of its divisors is an integer number (32649435).

Almost surely, 2^3468189312 is an apocalyptic number.

3468189312 is a gapful number since it is divisible by the number (32) 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 3468189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268691520).

3468189312 is an abundant number, since it is smaller than the sum of its proper divisors (9069193728).

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

3468189312 is an equidigital number, since it uses as much as digits as its factorization.

3468189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 966 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3468189312 is about 58891.3347785563. The cubic root of 3468189312 is about 1513.6806708326.

The spelling of 3468189312 in words is "three billion, four hundred sixty-eight million, one hundred eighty-nine thousand, three hundred twelve".