3199712256 has 264 divisors, whose sum is σ = 10541787984. Its totient is φ = 926023680.

The previous prime is 3199712227. The next prime is 3199712261. The reversal of 3199712256 is 6522179913.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035951 + ... + 2037521.

Almost surely, 2^3199712256 is an apocalyptic number.

3199712256 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 3199712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270893992).

3199712256 is an abundant number, since it is smaller than the sum of its proper divisors (7342075728).

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

3199712256 is a wasteful number, since it uses less digits than its factorization.

3199712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1606 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 3199712256 is about 56565.9991160768. Note that the first 3 decimals coincide. The cubic root of 3199712256 is about 1473.5684290505.

It can be divided in two parts, 31997 and 12256, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 3199712256 in words is "three billion, one hundred ninety-nine million, seven hundred twelve thousand, two hundred fifty-six".