3085557440 has 168 divisors, whose sum is σ = 8997787440. Its totient is φ = 1002129408.

The previous prime is 3085557437. The next prime is 3085557451. The reversal of 3085557440 is 447555803.

It is a super-3 number, since 3×3085557440³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292742 + ... + 303098.

Almost surely, 2^3085557440 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 3085557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498893720).

3085557440 is an abundant number, since it is smaller than the sum of its proper divisors (5912230000).

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

3085557440 is a wasteful number, since it uses less digits than its factorization.

3085557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 41.

The square root of 3085557440 is about 55547.7941956294. The cubic root of 3085557440 is about 1455.8318346213.

The spelling of 3085557440 in words is "three billion, eighty-five million, five hundred fifty-seven thousand, four hundred forty".