3468336192 has 224 divisors, whose sum is σ = 11091306240. Its totient is φ = 1058365440.

The previous prime is 3468336191. The next prime is 3468336239. The reversal of 3468336192 is 2916338643.

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 (3468336191) 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, 1085317 + ... + 1088507.

It is an arithmetic number, because the mean of its divisors is an integer number (49514760).

Almost surely, 2^3468336192 is an apocalyptic number.

3468336192 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 3468336192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545653120).

3468336192 is an abundant number, since it is smaller than the sum of its proper divisors (7622970048).

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

3468336192 is a wasteful number, since it uses less digits than its factorization.

3468336192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3250 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3468336192 is about 58892.5818078984. The cubic root of 3468336192 is about 1513.7020389740.

The spelling of 3468336192 in words is "three billion, four hundred sixty-eight million, three hundred thirty-six thousand, one hundred ninety-two".