3458223744 has 256 divisors, whose sum is σ = 10096204800. Its totient is φ = 1045094400.

The previous prime is 3458223731. The next prime is 3458223749. The reversal of 3458223744 is 4473228543.

It is a super-2 number, since 2×3458223744² = 23918622927130755072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3458223696 and 3458223705.

It is not an unprimeable number, because it can be changed into a prime (3458223749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22902069 + ... + 22902219.

It is an arithmetic number, because the mean of its divisors is an integer number (39438300).

Almost surely, 2^3458223744 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 3458223744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048102400).

3458223744 is an abundant number, since it is smaller than the sum of its proper divisors (6637981056).

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

3458223744 is a wasteful number, since it uses less digits than its factorization.

3458223744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 3458223744 is about 58806.6641121565. The cubic root of 3458223744 is about 1512.2294660276.

The spelling of 3458223744 in words is "three billion, four hundred fifty-eight million, two hundred twenty-three thousand, seven hundred forty-four".