3085812720 has 160 divisors (see below), whose sum is σ = 10648872000. Its totient is φ = 821339136.

The previous prime is 3085812689. The next prime is 3085812739. The reversal of 3085812720 is 272185803.

3085812720 is a `hidden beast` number, since 3 + 0 + 8 + 581 + 2 + 72 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1582306 + ... + 1584254.

It is an arithmetic number, because the mean of its divisors is an integer number (66555450).

Almost surely, 2^3085812720 is an apocalyptic number.

3085812720 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 3085812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324436000).

3085812720 is an abundant number, since it is smaller than the sum of its proper divisors (7563059280).

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

3085812720 is a wasteful number, since it uses less digits than its factorization.

3085812720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3085812720 is about 55550.0919891228. The cubic root of 3085812720 is about 1455.8719823644.

The spelling of 3085812720 in words is "three billion, eighty-five million, eight hundred twelve thousand, seven hundred twenty".