3005095680 has 288 divisors, whose sum is σ = 10794772800. Its totient is φ = 791543808.

The previous prime is 3005095679. The next prime is 3005095693. The reversal of 3005095680 is 865905003.

It is a tau number, because it is divible by the number of its divisors (288).

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, 3075352 + ... + 3076328.

It is an arithmetic number, because the mean of its divisors is an integer number (37481850).

Almost surely, 2^3005095680 is an apocalyptic number.

3005095680 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 3005095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397386400).

3005095680 is an abundant number, since it is smaller than the sum of its proper divisors (7789677120).

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

3005095680 is an equidigital number, since it uses as much as digits as its factorization.

3005095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3005095680 is about 54818.7529956675. The cubic root of 3005095680 is about 1443.0656908818.

The spelling of 3005095680 in words is "three billion, five million, ninety-five thousand, six hundred eighty".