3458851344 has 225 divisors, whose sum is σ = 10860693233. Its totient is φ = 1027563264.

The previous prime is 3458851327. The next prime is 3458851367. The reversal of 3458851344 is 4431588543.

The square root of 3458851344 is 58812.

It is a perfect power (a square), and thus also a powerful number.

3458851344 is a `hidden beast` number, since 34 + 588 + 5 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3456028944 + 2822400 = 58788^2 + 1680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3458851344.

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 44 ways as a sum of consecutive naturals, for example, 119270722 + ... + 119270750.

Almost surely, 2^3458851344 is an apocalyptic number.

3458851344 is the 58812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3458851344

3458851344 is an abundant number, since it is smaller than the sum of its proper divisors (7401841889).

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

3458851344 is an equidigital number, since it uses as much as digits as its factorization.

3458851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 47 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The cubic root of 3458851344 is about 1512.3209405220.

The spelling of 3458851344 in words is "three billion, four hundred fifty-eight million, eight hundred fifty-one thousand, three hundred forty-four".