3085916160 has 384 divisors, whose sum is σ = 11038809600. Its totient is φ = 731381760.

The previous prime is 3085916131. The next prime is 3085916201. The reversal of 3085916160 is 616195803.

3085916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9922405 + ... + 9922715.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^3085916160 is an apocalyptic number.

3085916160 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 3085916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519404800).

3085916160 is an abundant number, since it is smaller than the sum of its proper divisors (7952893440).

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

3085916160 is a wasteful number, since it uses less digits than its factorization.

3085916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 3085916160 is about 55551.0230328839. The cubic root of 3085916160 is about 1455.8882496851. Note that the first 3 decimals are identical.

The spelling of 3085916160 in words is "three billion, eighty-five million, nine hundred sixteen thousand, one hundred sixty".