3306098485080 has 512 divisors, whose sum is σ = 11259730944000. Its totient is φ = 873507815424.

The previous prime is 3306098485069. The next prime is 3306098485091. The reversal of 3306098485080 is 805848906033.

It is a happy number.

3306098485080 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 0 + 98 + 48 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3306098485069) and next prime (3306098485091).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6902084281 + ... + 6902084759.

It is an arithmetic number, because the mean of its divisors is an integer number (21991662000).

Almost surely, 2^{3306098485080} is an apocalyptic number.

3306098485080 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 3306098485080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629865472000).

3306098485080 is an abundant number, since it is smaller than the sum of its proper divisors (7953632458920).

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

3306098485080 is a wasteful number, since it uses less digits than its factorization.

3306098485080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3306098485080 in words is "three trillion, three hundred six billion, ninety-eight million, four hundred eighty-five thousand, eighty".