3199117824 has 360 divisors, whose sum is σ = 10998804960. Its totient is φ = 876625920.

The previous prime is 3199117811. The next prime is 3199117829. The reversal of 3199117824 is 4287119913.

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

Its product of digits (108864) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3199117824.

It is not an unprimeable number, because it can be changed into a prime (3199117829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54222307 + ... + 54222365.

It is an arithmetic number, because the mean of its divisors is an integer number (30552236).

Almost surely, 2^3199117824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3199117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499402480).

3199117824 is an abundant number, since it is smaller than the sum of its proper divisors (7799687136).

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

3199117824 is an equidigital number, since it uses as much as digits as its factorization.

3199117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 112 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 3199117824 is about 56560.7445495549. The cubic root of 3199117824 is about 1473.4771718367.

The spelling of 3199117824 in words is "three billion, one hundred ninety-nine million, one hundred seventeen thousand, eight hundred twenty-four".