3005085720 has 192 divisors, whose sum is σ = 11294125920. Its totient is φ = 634023936.

The previous prime is 3005085679. The next prime is 3005085731. The reversal of 3005085720 is 275805003.

It is a happy number.

3005085720 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56784 + ... + 96096.

Almost surely, 2^3005085720 is an apocalyptic number.

3005085720 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 3005085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647062960).

3005085720 is an abundant number, since it is smaller than the sum of its proper divisors (8289040200).

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

3005085720 is a wasteful number, since it uses less digits than its factorization.

3005085720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39354 (or 39343 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3005085720 is about 54818.6621507676. The cubic root of 3005085720 is about 1443.0640965953.

The spelling of 3005085720 in words is "three billion, five million, eighty-five thousand, seven hundred twenty".