3385843344 has 135 divisors (see below), whose sum is σ = 10288206747. Its totient is φ = 1039004928.

The previous prime is 3385843291. The next prime is 3385843367. The reversal of 3385843344 is 4433485833.

The square root of 3385843344 is 58188.

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

3385843344 is a `hidden beast` number, since 3 + 38 + 584 + 3 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 391564944 + 2994278400 = 19788^2 + 54720^2 .

It is a super-2 number, since 2×3385843344² = 22927870300218204672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3385843344.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9077142 + ... + 9077514.

Almost surely, 2^3385843344 is an apocalyptic number.

3385843344 is the 58188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385843344

3385843344 is an abundant number, since it is smaller than the sum of its proper divisors (6902363403).

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

3385843344 is a wasteful number, since it uses less digits than its factorization.

3385843344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 391 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The cubic root of 3385843344 is about 1501.6047040045.

The spelling of 3385843344 in words is "three billion, three hundred eighty-five million, eight hundred forty-three thousand, three hundred forty-four".