3123199296 has 392 divisors, whose sum is σ = 10847246784. Its totient is φ = 873400320.

The previous prime is 3123199291. The next prime is 3123199297. The reversal of 3123199296 is 6929913213.

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

Its product of digits (157464) is a multiple of the sum of its prime divisors (216).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123199291) 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 55 ways as a sum of consecutive naturals, for example, 23841151 + ... + 23841281.

Almost surely, 2^3123199296 is an apocalyptic number.

3123199296 is a gapful number since it is divisible by the number (36) 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 3123199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423623392).

3123199296 is an abundant number, since it is smaller than the sum of its proper divisors (7724047488).

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

3123199296 is an equidigital number, since it uses as much as digits as its factorization.

3123199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 3123199296 is about 55885.5911304515. The cubic root of 3123199296 is about 1461.7279996615.

The spelling of 3123199296 in words is "three billion, one hundred twenty-three million, one hundred ninety-nine thousand, two hundred ninety-six".