3085885440 has 336 divisors, whose sum is σ = 11684879856. Its totient is φ = 747110400.

The previous prime is 3085885427. The next prime is 3085885463. The reversal of 3085885440 is 445885803.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054660 + ... + 4055420.

Almost surely, 2^3085885440 is an apocalyptic number.

3085885440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842439928).

3085885440 is an abundant number, since it is smaller than the sum of its proper divisors (8598994416).

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

3085885440 is a wasteful number, since it uses less digits than its factorization.

3085885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3085885440 is about 55550.7465296372. The cubic root of 3085885440 is about 1455.8834185930.

It can be divided in two parts, 308588 and 5440, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 3085885440 in words is "three billion, eighty-five million, eight hundred eighty-five thousand, four hundred forty".