3485055744 has 216 divisors, whose sum is σ = 10645274640. Its totient is φ = 1094639616.

The previous prime is 3485055683. The next prime is 3485055767. The reversal of 3485055744 is 4475505843.

3485055744 is a `hidden beast` number, since 3 + 4 + 8 + 50 + 557 + 44 = 666.

It is a super-2 number, since 2×3485055744² = 24291227077574787072, 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 3485055744.

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, 2872482 + ... + 2873694.

Almost surely, 2^3485055744 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 3485055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322637320).

3485055744 is an abundant number, since it is smaller than the sum of its proper divisors (7160218896).

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

3485055744 is a wasteful number, since it uses less digits than its factorization.

3485055744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The square root of 3485055744 is about 59034.3607062870. The cubic root of 3485055744 is about 1516.1304714790.

The spelling of 3485055744 in words is "three billion, four hundred eighty-five million, fifty-five thousand, seven hundred forty-four".