3090098000000 has 504 divisors, whose sum is σ = 8533620162795. Its totient is φ = 1113728000000.

The previous prime is 3090097999991. The next prime is 3090098000009. The reversal of 3090098000000 is 8900903.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3090097999991) and next prime (3090098000009).

It can be written as a sum of positive squares in 11 ways, for example, as 2833081446976 + 257016553024 = 1683176^2 + 506968^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1243000.

It is not an unprimeable number, because it can be changed into a prime (3090098000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 27345999944 + ... + 27346000056.

Almost surely, 2^{3090098000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3090098000000

3090098000000 is an abundant number, since it is smaller than the sum of its proper divisors (5443522162795).

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

3090098000000 is an frugal number, since it uses more digits than its factorization.

3090098000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 3090098000000 in words is "three trillion, ninety billion, ninety-eight million", and thus it is an aban number and an uban number.