3085313616 has 360 divisors, whose sum is σ = 11079005184. Its totient is φ = 792529920.

The previous prime is 3085313579. The next prime is 3085313681. The reversal of 3085313616 is 6163135803.

It is a happy number.

3085313616 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 31 + 3 + 616 = 666.

3085313616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9857076 + ... + 9857388.

Almost surely, 2^3085313616 is an apocalyptic number.

3085313616 is a gapful number since it is divisible by the number (36) 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 3085313616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539502592).

3085313616 is an abundant number, since it is smaller than the sum of its proper divisors (7993691568).

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

3085313616 is a wasteful number, since it uses less digits than its factorization.

3085313616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3085313616 is about 55545.5994296578. The cubic root of 3085313616 is about 1455.7934864894.

The spelling of 3085313616 in words is "three billion, eighty-five million, three hundred thirteen thousand, six hundred sixteen".