3098580480 has 480 divisors, whose sum is σ = 11823555744. Its totient is φ = 775028736.

The previous prime is 3098580469. The next prime is 3098580491. The reversal of 3098580480 is 840858903.

3098580480 is a `hidden beast` number, since 3 + 0 + 98 + 5 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3098580469) and next prime (3098580491).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10575214 + ... + 10575506.

Almost surely, 2^3098580480 is an apocalyptic number.

3098580480 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 3098580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911777872).

3098580480 is an abundant number, since it is smaller than the sum of its proper divisors (8724975264).

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

3098580480 is an equidigital number, since it uses as much as digits as its factorization.

3098580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3098580480 is about 55664.8945027295. The cubic root of 3098580480 is about 1457.8771425208.

The spelling of 3098580480 in words is "three billion, ninety-eight million, five hundred eighty thousand, four hundred eighty".