3444788256 has 192 divisors, whose sum is σ = 11180768256. Its totient is φ = 904320000.

The previous prime is 3444788239. The next prime is 3444788309. The reversal of 3444788256 is 6528874443.

It is a super-2 number, since 2×3444788256² = 23733132257351043072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444788199 and 3444788208.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2191951 + ... + 2193521.

It is an arithmetic number, because the mean of its divisors is an integer number (58233168).

Almost surely, 2^3444788256 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 3444788256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590384128).

3444788256 is an abundant number, since it is smaller than the sum of its proper divisors (7735980000).

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

3444788256 is a wasteful number, since it uses less digits than its factorization.

3444788256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1847 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 3444788256 is about 58692.3185434005. The cubic root of 3444788256 is about 1510.2685451359.

The spelling of 3444788256 in words is "three billion, four hundred forty-four million, seven hundred eighty-eight thousand, two hundred fifty-six".